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Finding the Fourth Proportional to 191.46, 264.12 and 113.82

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Solution

The fourth proportional to 191.46, 264.12 and 113.82 is: 157.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.46 : 264.12 = 113.82 : x
  2. Step 2: Convert to fraction form
    191.46/264.12 = 113.82/x
  3. Step 3: Cross multiply
    191.46x = 264.12 × 113.82
  4. Step 4: Simplify right side
    191.46x = 30,062.14
  5. Step 5: Solve for x
    x = 30,062.14/191.46
  6. Step 6: Final answer
    x = 157.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.