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Finding the Fourth Proportional to 562.46, 843.62 and 151.64

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Solution

The fourth proportional to 562.46, 843.62 and 151.64 is: 227.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.46 : 843.62 = 151.64 : x
  2. Step 2: Convert to fraction form
    562.46/843.62 = 151.64/x
  3. Step 3: Cross multiply
    562.46x = 843.62 × 151.64
  4. Step 4: Simplify right side
    562.46x = 127,921.56
  5. Step 5: Solve for x
    x = 127,921.56/562.46
  6. Step 6: Final answer
    x = 227.43

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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.