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Finding the Fourth Proportional to 475.64, 713.42 and 167.64

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Solution

The fourth proportional to 475.64, 713.42 and 167.64 is: 251.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.64 : 713.42 = 167.64 : x
  2. Step 2: Convert to fraction form
    475.64/713.42 = 167.64/x
  3. Step 3: Cross multiply
    475.64x = 713.42 × 167.64
  4. Step 4: Simplify right side
    475.64x = 119,597.73
  5. Step 5: Solve for x
    x = 119,597.73/475.64
  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.