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Finding the Fourth Proportional to 224.24, 309.42 and 158.76

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Solution

The fourth proportional to 224.24, 309.42 and 158.76 is: 219.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.24 : 309.42 = 158.76 : x
  2. Step 2: Convert to fraction form
    224.24/309.42 = 158.76/x
  3. Step 3: Cross multiply
    224.24x = 309.42 × 158.76
  4. Step 4: Simplify right side
    224.24x = 49,123.52
  5. Step 5: Solve for x
    x = 49,123.52/224.24
  6. Step 6: Final answer
    x = 219.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.