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Finding the Fourth Proportional to 191.11, 286.83 and 146.02

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Solution

The fourth proportional to 191.11, 286.83 and 146.02 is: 219.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.11 : 286.83 = 146.02 : x
  2. Step 2: Convert to fraction form
    191.11/286.83 = 146.02/x
  3. Step 3: Cross multiply
    191.11x = 286.83 × 146.02
  4. Step 4: Simplify right side
    191.11x = 41,882.92
  5. Step 5: Solve for x
    x = 41,882.92/191.11
  6. Step 6: Final answer
    x = 219.16

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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.