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Finding the Fourth Proportional to 191.20, 264.08 and 166.40

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Solution

The fourth proportional to 191.20, 264.08 and 166.40 is: 229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.20 : 264.08 = 166.40 : x
  2. Step 2: Convert to fraction form
    191.20/264.08 = 166.40/x
  3. Step 3: Cross multiply
    191.20x = 264.08 × 166.40
  4. Step 4: Simplify right side
    191.20x = 43,942.91
  5. Step 5: Solve for x
    x = 43,942.91/191.20
  6. Step 6: Final answer
    x = 229.83

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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.