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Finding the Fourth Proportional to 187.17, 282.11 and 171.78

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Solution

The fourth proportional to 187.17, 282.11 and 171.78 is: 258.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.17 : 282.11 = 171.78 : x
  2. Step 2: Convert to fraction form
    187.17/282.11 = 171.78/x
  3. Step 3: Cross multiply
    187.17x = 282.11 × 171.78
  4. Step 4: Simplify right side
    187.17x = 48,461.29
  5. Step 5: Solve for x
    x = 48,461.29/187.17
  6. Step 6: Final answer
    x = 258.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.