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Finding the Fourth Proportional to 437.76, 656.72 and 149.12

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Solution

The fourth proportional to 437.76, 656.72 and 149.12 is: 223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.76 : 656.72 = 149.12 : x
  2. Step 2: Convert to fraction form
    437.76/656.72 = 149.12/x
  3. Step 3: Cross multiply
    437.76x = 656.72 × 149.12
  4. Step 4: Simplify right side
    437.76x = 97,930.09
  5. Step 5: Solve for x
    x = 97,930.09/437.76
  6. Step 6: Final answer
    x = 223.71

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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.