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Finding the Fourth Proportional to 191.72, 286.19 and 166.20

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Solution

The fourth proportional to 191.72, 286.19 and 166.20 is: 248.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.72 : 286.19 = 166.20 : x
  2. Step 2: Convert to fraction form
    191.72/286.19 = 166.20/x
  3. Step 3: Cross multiply
    191.72x = 286.19 × 166.20
  4. Step 4: Simplify right side
    191.72x = 47,563.95
  5. Step 5: Solve for x
    x = 47,563.95/191.72
  6. Step 6: Final answer
    x = 248.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.