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Finding the Fourth Proportional to 438.52, 657.84 and 149.90

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Solution

The fourth proportional to 438.52, 657.84 and 149.90 is: 224.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.52 : 657.84 = 149.90 : x
  2. Step 2: Convert to fraction form
    438.52/657.84 = 149.90/x
  3. Step 3: Cross multiply
    438.52x = 657.84 × 149.90
  4. Step 4: Simplify right side
    438.52x = 98,610.22
  5. Step 5: Solve for x
    x = 98,610.22/438.52
  6. Step 6: Final answer
    x = 224.87

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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.