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Finding the Fourth Proportional to 191.15, 263.80 and 121.20

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Solution

The fourth proportional to 191.15, 263.80 and 121.20 is: 167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.15 : 263.80 = 121.20 : x
  2. Step 2: Convert to fraction form
    191.15/263.80 = 121.20/x
  3. Step 3: Cross multiply
    191.15x = 263.80 × 121.20
  4. Step 4: Simplify right side
    191.15x = 31,972.26
  5. Step 5: Solve for x
    x = 31,972.26/191.15
  6. Step 6: Final answer
    x = 167.27

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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.