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Finding the Fourth Proportional to 476.01, 714.16 and 167.89

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Solution

The fourth proportional to 476.01, 714.16 and 167.89 is: 251.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.01 : 714.16 = 167.89 : x
  2. Step 2: Convert to fraction form
    476.01/714.16 = 167.89/x
  3. Step 3: Cross multiply
    476.01x = 714.16 × 167.89
  4. Step 4: Simplify right side
    476.01x = 119,898.75
  5. Step 5: Solve for x
    x = 119,898.75/476.01
  6. Step 6: Final answer
    x = 251.88

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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.