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Finding the Fourth Proportional to 224.20, 309.80 and 165.88

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Solution

The fourth proportional to 224.20, 309.80 and 165.88 is: 229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.20 : 309.80 = 165.88 : x
  2. Step 2: Convert to fraction form
    224.20/309.80 = 165.88/x
  3. Step 3: Cross multiply
    224.20x = 309.80 × 165.88
  4. Step 4: Simplify right side
    224.20x = 51,389.62
  5. Step 5: Solve for x
    x = 51,389.62/224.20
  6. Step 6: Final answer
    x = 229.21

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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.