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Finding the Fourth Proportional to 224.70, 336.36 and 159.78

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Solution

The fourth proportional to 224.70, 336.36 and 159.78 is: 239.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.70 : 336.36 = 159.78 : x
  2. Step 2: Convert to fraction form
    224.70/336.36 = 159.78/x
  3. Step 3: Cross multiply
    224.70x = 336.36 × 159.78
  4. Step 4: Simplify right side
    224.70x = 53,743.60
  5. Step 5: Solve for x
    x = 53,743.60/224.70
  6. Step 6: Final answer
    x = 239.18

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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.