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Finding the Fourth Proportional to 531.89, 797.74 and 166.59

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Solution

The fourth proportional to 531.89, 797.74 and 166.59 is: 249.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.89 : 797.74 = 166.59 : x
  2. Step 2: Convert to fraction form
    531.89/797.74 = 166.59/x
  3. Step 3: Cross multiply
    531.89x = 797.74 × 166.59
  4. Step 4: Simplify right side
    531.89x = 132,894.23
  5. Step 5: Solve for x
    x = 132,894.23/531.89
  6. Step 6: Final answer
    x = 249.86

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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.