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Finding the Fourth Proportional to 191.84, 286.56 and 165.92

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Solution

The fourth proportional to 191.84, 286.56 and 165.92 is: 247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.84 : 286.56 = 165.92 : x
  2. Step 2: Convert to fraction form
    191.84/286.56 = 165.92/x
  3. Step 3: Cross multiply
    191.84x = 286.56 × 165.92
  4. Step 4: Simplify right side
    191.84x = 47,546.04
  5. Step 5: Solve for x
    x = 47,546.04/191.84
  6. Step 6: Final answer
    x = 247.84

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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.