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Finding the Fourth Proportional to 437.52, 655.84 and 148.76

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Solution

The fourth proportional to 437.52, 655.84 and 148.76 is: 222.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.52 : 655.84 = 148.76 : x
  2. Step 2: Convert to fraction form
    437.52/655.84 = 148.76/x
  3. Step 3: Cross multiply
    437.52x = 655.84 × 148.76
  4. Step 4: Simplify right side
    437.52x = 97,562.76
  5. Step 5: Solve for x
    x = 97,562.76/437.52
  6. Step 6: Final answer
    x = 222.99

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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.