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Finding the Fourth Proportional to 191.48, 286.94 and 119.12

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Solution

The fourth proportional to 191.48, 286.94 and 119.12 is: 178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.48 : 286.94 = 119.12 : x
  2. Step 2: Convert to fraction form
    191.48/286.94 = 119.12/x
  3. Step 3: Cross multiply
    191.48x = 286.94 × 119.12
  4. Step 4: Simplify right side
    191.48x = 34,180.29
  5. Step 5: Solve for x
    x = 34,180.29/191.48
  6. Step 6: Final answer
    x = 178.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.