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Finding the Fourth Proportional to 476.16, 714.32 and 167.92

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Solution

The fourth proportional to 476.16, 714.32 and 167.92 is: 251.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.16 : 714.32 = 167.92 : x
  2. Step 2: Convert to fraction form
    476.16/714.32 = 167.92/x
  3. Step 3: Cross multiply
    476.16x = 714.32 × 167.92
  4. Step 4: Simplify right side
    476.16x = 119,948.61
  5. Step 5: Solve for x
    x = 119,948.61/476.16
  6. Step 6: Final answer
    x = 251.91

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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.