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Finding the Fourth Proportional to 531.74, 797.74 and 166.54

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Solution

The fourth proportional to 531.74, 797.74 and 166.54 is: 249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.74 : 797.74 = 166.54 : x
  2. Step 2: Convert to fraction form
    531.74/797.74 = 166.54/x
  3. Step 3: Cross multiply
    531.74x = 797.74 × 166.54
  4. Step 4: Simplify right side
    531.74x = 132,855.62
  5. Step 5: Solve for x
    x = 132,855.62/531.74
  6. Step 6: Final answer
    x = 249.85

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.