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Finding the Fourth Proportional to 409.80, 614.75 and 149.83

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Solution

The fourth proportional to 409.80, 614.75 and 149.83 is: 224.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.80 : 614.75 = 149.83 : x
  2. Step 2: Convert to fraction form
    409.80/614.75 = 149.83/x
  3. Step 3: Cross multiply
    409.80x = 614.75 × 149.83
  4. Step 4: Simplify right side
    409.80x = 92,105.71
  5. Step 5: Solve for x
    x = 92,105.71/409.80
  6. Step 6: Final answer
    x = 224.76

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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.