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Finding the Fourth Proportional to 224.54, 309.86 and 124.95

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Solution

The fourth proportional to 224.54, 309.86 and 124.95 is: 172.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.54 : 309.86 = 124.95 : x
  2. Step 2: Convert to fraction form
    224.54/309.86 = 124.95/x
  3. Step 3: Cross multiply
    224.54x = 309.86 × 124.95
  4. Step 4: Simplify right side
    224.54x = 38,716.38
  5. Step 5: Solve for x
    x = 38,716.38/224.54
  6. Step 6: Final answer
    x = 172.43

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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.