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Finding the Fourth Proportional to 224.17, 336.33 and 77.91

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Solution

The fourth proportional to 224.17, 336.33 and 77.91 is: 116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.17 : 336.33 = 77.91 : x
  2. Step 2: Convert to fraction form
    224.17/336.33 = 77.91/x
  3. Step 3: Cross multiply
    224.17x = 336.33 × 77.91
  4. Step 4: Simplify right side
    224.17x = 26,203.88
  5. Step 5: Solve for x
    x = 26,203.88/224.17
  6. Step 6: Final answer
    x = 116.89

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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.