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Finding the Fourth Proportional to 475.71, 713.88 and 167.56

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Solution

The fourth proportional to 475.71, 713.88 and 167.56 is: 251.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.71 : 713.88 = 167.56 : x
  2. Step 2: Convert to fraction form
    475.71/713.88 = 167.56/x
  3. Step 3: Cross multiply
    475.71x = 713.88 × 167.56
  4. Step 4: Simplify right side
    475.71x = 119,616.97
  5. Step 5: Solve for x
    x = 119,616.97/475.71
  6. Step 6: Final answer
    x = 251.45

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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.