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Finding the Fourth Proportional to 498.22, 747.31 and 151.55

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Solution

The fourth proportional to 498.22, 747.31 and 151.55 is: 227.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.22 : 747.31 = 151.55 : x
  2. Step 2: Convert to fraction form
    498.22/747.31 = 151.55/x
  3. Step 3: Cross multiply
    498.22x = 747.31 × 151.55
  4. Step 4: Simplify right side
    498.22x = 113,254.83
  5. Step 5: Solve for x
    x = 113,254.83/498.22
  6. Step 6: Final answer
    x = 227.32

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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.