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Finding the Fourth Proportional to 187.97, 282.24 and 147.65

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Solution

The fourth proportional to 187.97, 282.24 and 147.65 is: 221.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.97 : 282.24 = 147.65 : x
  2. Step 2: Convert to fraction form
    187.97/282.24 = 147.65/x
  3. Step 3: Cross multiply
    187.97x = 282.24 × 147.65
  4. Step 4: Simplify right side
    187.97x = 41,671.32
  5. Step 5: Solve for x
    x = 41,671.32/187.97
  6. Step 6: Final answer
    x = 221.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.