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Finding the Fourth Proportional to 498.22, 747.30 and 151.58

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Solution

The fourth proportional to 498.22, 747.30 and 151.58 is: 227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.22 : 747.30 = 151.58 : x
  2. Step 2: Convert to fraction form
    498.22/747.30 = 151.58/x
  3. Step 3: Cross multiply
    498.22x = 747.30 × 151.58
  4. Step 4: Simplify right side
    498.22x = 113,275.73
  5. Step 5: Solve for x
    x = 113,275.73/498.22
  6. Step 6: Final answer
    x = 227.36

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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.