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Finding the Fourth Proportional to 191.76, 264.49 and 114.13

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Solution

The fourth proportional to 191.76, 264.49 and 114.13 is: 157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.76 : 264.49 = 114.13 : x
  2. Step 2: Convert to fraction form
    191.76/264.49 = 114.13/x
  3. Step 3: Cross multiply
    191.76x = 264.49 × 114.13
  4. Step 4: Simplify right side
    191.76x = 30,186.24
  5. Step 5: Solve for x
    x = 30,186.24/191.76
  6. Step 6: Final answer
    x = 157.42

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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.