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Finding the Fourth Proportional to 224.19, 309.31 and 136.80

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Solution

The fourth proportional to 224.19, 309.31 and 136.80 is: 188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.19 : 309.31 = 136.80 : x
  2. Step 2: Convert to fraction form
    224.19/309.31 = 136.80/x
  3. Step 3: Cross multiply
    224.19x = 309.31 × 136.80
  4. Step 4: Simplify right side
    224.19x = 42,313.61
  5. Step 5: Solve for x
    x = 42,313.61/224.19
  6. Step 6: Final answer
    x = 188.74

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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.