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Finding the Fourth Proportional to 191.04, 286.14 and 133.14

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Solution

The fourth proportional to 191.04, 286.14 and 133.14 is: 199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.04 : 286.14 = 133.14 : x
  2. Step 2: Convert to fraction form
    191.04/286.14 = 133.14/x
  3. Step 3: Cross multiply
    191.04x = 286.14 × 133.14
  4. Step 4: Simplify right side
    191.04x = 38,096.68
  5. Step 5: Solve for x
    x = 38,096.68/191.04
  6. Step 6: Final answer
    x = 199.42

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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.