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Finding the Fourth Proportional to 437.96, 657.04 and 149.38

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Solution

The fourth proportional to 437.96, 657.04 and 149.38 is: 224.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.96 : 657.04 = 149.38 : x
  2. Step 2: Convert to fraction form
    437.96/657.04 = 149.38/x
  3. Step 3: Cross multiply
    437.96x = 657.04 × 149.38
  4. Step 4: Simplify right side
    437.96x = 98,148.64
  5. Step 5: Solve for x
    x = 98,148.64/437.96
  6. Step 6: Final answer
    x = 224.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.