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Finding the Fourth Proportional to 475.37, 713.28 and 167.44

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Solution

The fourth proportional to 475.37, 713.28 and 167.44 is: 251.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.37 : 713.28 = 167.44 : x
  2. Step 2: Convert to fraction form
    475.37/713.28 = 167.44/x
  3. Step 3: Cross multiply
    475.37x = 713.28 × 167.44
  4. Step 4: Simplify right side
    475.37x = 119,433.32
  5. Step 5: Solve for x
    x = 119,433.32/475.37
  6. Step 6: Final answer
    x = 251.24

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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.