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Finding the Fourth Proportional to 187.97, 282.07 and 101.30

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Solution

The fourth proportional to 187.97, 282.07 and 101.30 is: 152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.97 : 282.07 = 101.30 : x
  2. Step 2: Convert to fraction form
    187.97/282.07 = 101.30/x
  3. Step 3: Cross multiply
    187.97x = 282.07 × 101.30
  4. Step 4: Simplify right side
    187.97x = 28,574.61
  5. Step 5: Solve for x
    x = 28,574.61/187.97
  6. Step 6: Final answer
    x = 152.02

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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.