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Finding the Fourth Proportional to 534.31, 801.25 and 187.54

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Solution

The fourth proportional to 534.31, 801.25 and 187.54 is: 281.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.31 : 801.25 = 187.54 : x
  2. Step 2: Convert to fraction form
    534.31/801.25 = 187.54/x
  3. Step 3: Cross multiply
    534.31x = 801.25 × 187.54
  4. Step 4: Simplify right side
    534.31x = 150,266.43
  5. Step 5: Solve for x
    x = 150,266.43/534.31
  6. Step 6: Final answer
    x = 281.23

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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.