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Finding the Fourth Proportional to 534.16, 801.32 and 168.88

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Solution

The fourth proportional to 534.16, 801.32 and 168.88 is: 253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.16 : 801.32 = 168.88 : x
  2. Step 2: Convert to fraction form
    534.16/801.32 = 168.88/x
  3. Step 3: Cross multiply
    534.16x = 801.32 × 168.88
  4. Step 4: Simplify right side
    534.16x = 135,326.92
  5. Step 5: Solve for x
    x = 135,326.92/534.16
  6. Step 6: Final answer
    x = 253.35

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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.