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Finding the Fourth Proportional to 149.91, 224.88 and 77.79

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Solution

The fourth proportional to 149.91, 224.88 and 77.79 is: 116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.91 : 224.88 = 77.79 : x
  2. Step 2: Convert to fraction form
    149.91/224.88 = 77.79/x
  3. Step 3: Cross multiply
    149.91x = 224.88 × 77.79
  4. Step 4: Simplify right side
    149.91x = 17,493.42
  5. Step 5: Solve for x
    x = 17,493.42/149.91
  6. Step 6: Final answer
    x = 116.69

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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.