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Finding the Fourth Proportional to 424.83, 637.20 and 150.96

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Solution

The fourth proportional to 424.83, 637.20 and 150.96 is: 226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.83 : 637.20 = 150.96 : x
  2. Step 2: Convert to fraction form
    424.83/637.20 = 150.96/x
  3. Step 3: Cross multiply
    424.83x = 637.20 × 150.96
  4. Step 4: Simplify right side
    424.83x = 96,191.71
  5. Step 5: Solve for x
    x = 96,191.71/424.83
  6. Step 6: Final answer
    x = 226.42

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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.