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Finding the Fourth Proportional to 191.02, 286.56 and 82.84

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Solution

The fourth proportional to 191.02, 286.56 and 82.84 is: 124.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.02 : 286.56 = 82.84 : x
  2. Step 2: Convert to fraction form
    191.02/286.56 = 82.84/x
  3. Step 3: Cross multiply
    191.02x = 286.56 × 82.84
  4. Step 4: Simplify right side
    191.02x = 23,738.63
  5. Step 5: Solve for x
    x = 23,738.63/191.02
  6. Step 6: Final answer
    x = 124.27

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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.