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Finding the Fourth Proportional to 531.85, 797.86 and 166.55

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Solution

The fourth proportional to 531.85, 797.86 and 166.55 is: 249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.85 : 797.86 = 166.55 : x
  2. Step 2: Convert to fraction form
    531.85/797.86 = 166.55/x
  3. Step 3: Cross multiply
    531.85x = 797.86 × 166.55
  4. Step 4: Simplify right side
    531.85x = 132,884.29
  5. Step 5: Solve for x
    x = 132,884.29/531.85
  6. Step 6: Final answer
    x = 249.85

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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.