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Finding the Fourth Proportional to 409.92, 614.73 and 149.84

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Solution

The fourth proportional to 409.92, 614.73 and 149.84 is: 224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.92 : 614.73 = 149.84 : x
  2. Step 2: Convert to fraction form
    409.92/614.73 = 149.84/x
  3. Step 3: Cross multiply
    409.92x = 614.73 × 149.84
  4. Step 4: Simplify right side
    409.92x = 92,111.14
  5. Step 5: Solve for x
    x = 92,111.14/409.92
  6. Step 6: Final answer
    x = 224.71

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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.