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Finding the Fourth Proportional to 191.80, 264.72 and 113.14

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Solution

The fourth proportional to 191.80, 264.72 and 113.14 is: 156.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.80 : 264.72 = 113.14 : x
  2. Step 2: Convert to fraction form
    191.80/264.72 = 113.14/x
  3. Step 3: Cross multiply
    191.80x = 264.72 × 113.14
  4. Step 4: Simplify right side
    191.80x = 29,950.42
  5. Step 5: Solve for x
    x = 29,950.42/191.80
  6. Step 6: Final answer
    x = 156.15

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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.