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Finding the Fourth Proportional to 498.10, 746.88 and 151.33

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Solution

The fourth proportional to 498.10, 746.88 and 151.33 is: 226.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.10 : 746.88 = 151.33 : x
  2. Step 2: Convert to fraction form
    498.10/746.88 = 151.33/x
  3. Step 3: Cross multiply
    498.10x = 746.88 × 151.33
  4. Step 4: Simplify right side
    498.10x = 113,022.92
  5. Step 5: Solve for x
    x = 113,022.92/498.10
  6. Step 6: Final answer
    x = 226.91

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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.