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Finding the Fourth Proportional to 191.24, 286.56 and 184.12

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Solution

The fourth proportional to 191.24, 286.56 and 184.12 is: 275.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.24 : 286.56 = 184.12 : x
  2. Step 2: Convert to fraction form
    191.24/286.56 = 184.12/x
  3. Step 3: Cross multiply
    191.24x = 286.56 × 184.12
  4. Step 4: Simplify right side
    191.24x = 52,761.43
  5. Step 5: Solve for x
    x = 52,761.43/191.24
  6. Step 6: Final answer
    x = 275.89

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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.