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Finding the Fourth Proportional to 224.48, 309.84 and 159.18

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Solution

The fourth proportional to 224.48, 309.84 and 159.18 is: 219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.48 : 309.84 = 159.18 : x
  2. Step 2: Convert to fraction form
    224.48/309.84 = 159.18/x
  3. Step 3: Cross multiply
    224.48x = 309.84 × 159.18
  4. Step 4: Simplify right side
    224.48x = 49,320.33
  5. Step 5: Solve for x
    x = 49,320.33/224.48
  6. Step 6: Final answer
    x = 219.71

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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.