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Finding the Fourth Proportional to 191.92, 286.03 and 187.06

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Solution

The fourth proportional to 191.92, 286.03 and 187.06 is: 278.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.92 : 286.03 = 187.06 : x
  2. Step 2: Convert to fraction form
    191.92/286.03 = 187.06/x
  3. Step 3: Cross multiply
    191.92x = 286.03 × 187.06
  4. Step 4: Simplify right side
    191.92x = 53,504.83
  5. Step 5: Solve for x
    x = 53,504.83/191.92
  6. Step 6: Final answer
    x = 278.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.