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Finding the Fourth Proportional to 409.94, 614.92 and 149.96

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Solution

The fourth proportional to 409.94, 614.92 and 149.96 is: 224.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.94 : 614.92 = 149.96 : x
  2. Step 2: Convert to fraction form
    409.94/614.92 = 149.96/x
  3. Step 3: Cross multiply
    409.94x = 614.92 × 149.96
  4. Step 4: Simplify right side
    409.94x = 92,213.40
  5. Step 5: Solve for x
    x = 92,213.40/409.94
  6. Step 6: Final answer
    x = 224.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.