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Finding the Fourth Proportional to 224.60, 309.84 and 158.96

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Solution

The fourth proportional to 224.60, 309.84 and 158.96 is: 219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.60 : 309.84 = 158.96 : x
  2. Step 2: Convert to fraction form
    224.60/309.84 = 158.96/x
  3. Step 3: Cross multiply
    224.60x = 309.84 × 158.96
  4. Step 4: Simplify right side
    224.60x = 49,252.17
  5. Step 5: Solve for x
    x = 49,252.17/224.60
  6. Step 6: Final answer
    x = 219.29

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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.