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Finding the Fourth Proportional to 224.78, 310.11 and 187.88

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Solution

The fourth proportional to 224.78, 310.11 and 187.88 is: 259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.78 : 310.11 = 187.88 : x
  2. Step 2: Convert to fraction form
    224.78/310.11 = 187.88/x
  3. Step 3: Cross multiply
    224.78x = 310.11 × 187.88
  4. Step 4: Simplify right side
    224.78x = 58,261.92
  5. Step 5: Solve for x
    x = 58,261.92/224.78
  6. Step 6: Final answer
    x = 259.20

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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.