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Finding the Fourth Proportional to 187.03, 257.82 and 171.96

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Solution

The fourth proportional to 187.03, 257.82 and 171.96 is: 237.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.03 : 257.82 = 171.96 : x
  2. Step 2: Convert to fraction form
    187.03/257.82 = 171.96/x
  3. Step 3: Cross multiply
    187.03x = 257.82 × 171.96
  4. Step 4: Simplify right side
    187.03x = 44,333.12
  5. Step 5: Solve for x
    x = 44,333.12/187.03
  6. Step 6: Final answer
    x = 237.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.