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Finding the Fourth Proportional to 224.39, 309.62 and 124.80

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Solution

The fourth proportional to 224.39, 309.62 and 124.80 is: 172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.39 : 309.62 = 124.80 : x
  2. Step 2: Convert to fraction form
    224.39/309.62 = 124.80/x
  3. Step 3: Cross multiply
    224.39x = 309.62 × 124.80
  4. Step 4: Simplify right side
    224.39x = 38,639.95
  5. Step 5: Solve for x
    x = 38,639.95/224.39
  6. Step 6: Final answer
    x = 172.20

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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.