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Finding the Fourth Proportional to 149.29, 224.00 and 80.74

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Solution

The fourth proportional to 149.29, 224.00 and 80.74 is: 121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.29 : 224.00 = 80.74 : x
  2. Step 2: Convert to fraction form
    149.29/224.00 = 80.74/x
  3. Step 3: Cross multiply
    149.29x = 224.00 × 80.74
  4. Step 4: Simplify right side
    149.29x = 18,084.84
  5. Step 5: Solve for x
    x = 18,084.84/149.29
  6. Step 6: Final answer
    x = 121.14

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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.