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Finding the Fourth Proportional to 424.62, 637.13 and 181.21

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Solution

The fourth proportional to 424.62, 637.13 and 181.21 is: 271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.62 : 637.13 = 181.21 : x
  2. Step 2: Convert to fraction form
    424.62/637.13 = 181.21/x
  3. Step 3: Cross multiply
    424.62x = 637.13 × 181.21
  4. Step 4: Simplify right side
    424.62x = 115,454.33
  5. Step 5: Solve for x
    x = 115,454.33/424.62
  6. Step 6: Final answer
    x = 271.90

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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.