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Finding the Fourth Proportional to 187.97, 282.02 and 157.85

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Solution

The fourth proportional to 187.97, 282.02 and 157.85 is: 236.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.97 : 282.02 = 157.85 : x
  2. Step 2: Convert to fraction form
    187.97/282.02 = 157.85/x
  3. Step 3: Cross multiply
    187.97x = 282.02 × 157.85
  4. Step 4: Simplify right side
    187.97x = 44,516.86
  5. Step 5: Solve for x
    x = 44,516.86/187.97
  6. Step 6: Final answer
    x = 236.83

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