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Finding the Fourth Proportional to 191.24, 286.69 and 114.11

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Solution

The fourth proportional to 191.24, 286.69 and 114.11 is: 171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.24 : 286.69 = 114.11 : x
  2. Step 2: Convert to fraction form
    191.24/286.69 = 114.11/x
  3. Step 3: Cross multiply
    191.24x = 286.69 × 114.11
  4. Step 4: Simplify right side
    191.24x = 32,714.20
  5. Step 5: Solve for x
    x = 32,714.20/191.24
  6. Step 6: Final answer
    x = 171.06

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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.