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Finding the Fourth Proportional to 191.22, 286.76 and 119.04

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Solution

The fourth proportional to 191.22, 286.76 and 119.04 is: 178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.22 : 286.76 = 119.04 : x
  2. Step 2: Convert to fraction form
    191.22/286.76 = 119.04/x
  3. Step 3: Cross multiply
    191.22x = 286.76 × 119.04
  4. Step 4: Simplify right side
    191.22x = 34,135.91
  5. Step 5: Solve for x
    x = 34,135.91/191.22
  6. Step 6: Final answer
    x = 178.52

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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.