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Finding the Fourth Proportional to 191.96, 266.22 and 180.08

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Solution

The fourth proportional to 191.96, 266.22 and 180.08 is: 249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.96 : 266.22 = 180.08 : x
  2. Step 2: Convert to fraction form
    191.96/266.22 = 180.08/x
  3. Step 3: Cross multiply
    191.96x = 266.22 × 180.08
  4. Step 4: Simplify right side
    191.96x = 47,940.90
  5. Step 5: Solve for x
    x = 47,940.90/191.96
  6. Step 6: Final answer
    x = 249.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.