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Finding the Fourth Proportional to 224.65, 310.02 and 136.10

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Solution

The fourth proportional to 224.65, 310.02 and 136.10 is: 187.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.65 : 310.02 = 136.10 : x
  2. Step 2: Convert to fraction form
    224.65/310.02 = 136.10/x
  3. Step 3: Cross multiply
    224.65x = 310.02 × 136.10
  4. Step 4: Simplify right side
    224.65x = 42,194.50
  5. Step 5: Solve for x
    x = 42,194.50/224.65
  6. Step 6: Final answer
    x = 187.82

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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.