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Finding the Fourth Proportional to 191.67, 264.36 and 116.89

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Solution

The fourth proportional to 191.67, 264.36 and 116.89 is: 161.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.67 : 264.36 = 116.89 : x
  2. Step 2: Convert to fraction form
    191.67/264.36 = 116.89/x
  3. Step 3: Cross multiply
    191.67x = 264.36 × 116.89
  4. Step 4: Simplify right side
    191.67x = 30,902.30
  5. Step 5: Solve for x
    x = 30,902.30/191.67
  6. Step 6: Final answer
    x = 161.23

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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.