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Finding the Fourth Proportional to 191.82, 287.54 and 76.08

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Solution

The fourth proportional to 191.82, 287.54 and 76.08 is: 114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.82 : 287.54 = 76.08 : x
  2. Step 2: Convert to fraction form
    191.82/287.54 = 76.08/x
  3. Step 3: Cross multiply
    191.82x = 287.54 × 76.08
  4. Step 4: Simplify right side
    191.82x = 21,876.04
  5. Step 5: Solve for x
    x = 21,876.04/191.82
  6. Step 6: Final answer
    x = 114.04

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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.