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Finding the Fourth Proportional to 475.60, 713.04 and 167.44

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Solution

The fourth proportional to 475.60, 713.04 and 167.44 is: 251.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.60 : 713.04 = 167.44 : x
  2. Step 2: Convert to fraction form
    475.60/713.04 = 167.44/x
  3. Step 3: Cross multiply
    475.60x = 713.04 × 167.44
  4. Step 4: Simplify right side
    475.60x = 119,391.42
  5. Step 5: Solve for x
    x = 119,391.42/475.60
  6. Step 6: Final answer
    x = 251.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.