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Finding the Fourth Proportional to 224.57, 309.86 and 136.03

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Solution

The fourth proportional to 224.57, 309.86 and 136.03 is: 187.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.57 : 309.86 = 136.03 : x
  2. Step 2: Convert to fraction form
    224.57/309.86 = 136.03/x
  3. Step 3: Cross multiply
    224.57x = 309.86 × 136.03
  4. Step 4: Simplify right side
    224.57x = 42,148.03
  5. Step 5: Solve for x
    x = 42,148.03/224.57
  6. Step 6: Final answer
    x = 187.69

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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.