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Finding the Fourth Proportional to 187.92, 282.89 and 134.19

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Solution

The fourth proportional to 187.92, 282.89 and 134.19 is: 202.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.92 : 282.89 = 134.19 : x
  2. Step 2: Convert to fraction form
    187.92/282.89 = 134.19/x
  3. Step 3: Cross multiply
    187.92x = 282.89 × 134.19
  4. Step 4: Simplify right side
    187.92x = 37,961.34
  5. Step 5: Solve for x
    x = 37,961.34/187.92
  6. Step 6: Final answer
    x = 202.01

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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.