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Finding the Fourth Proportional to 191.98, 264.96 and 109.11

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Solution

The fourth proportional to 191.98, 264.96 and 109.11 is: 150.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.98 : 264.96 = 109.11 : x
  2. Step 2: Convert to fraction form
    191.98/264.96 = 109.11/x
  3. Step 3: Cross multiply
    191.98x = 264.96 × 109.11
  4. Step 4: Simplify right side
    191.98x = 28,909.79
  5. Step 5: Solve for x
    x = 28,909.79/191.98
  6. Step 6: Final answer
    x = 150.59

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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.