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Finding the Fourth Proportional to 195.64, 269.76 and 166.48

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Solution

The fourth proportional to 195.64, 269.76 and 166.48 is: 229.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.64 : 269.76 = 166.48 : x
  2. Step 2: Convert to fraction form
    195.64/269.76 = 166.48/x
  3. Step 3: Cross multiply
    195.64x = 269.76 × 166.48
  4. Step 4: Simplify right side
    195.64x = 44,909.64
  5. Step 5: Solve for x
    x = 44,909.64/195.64
  6. Step 6: Final answer
    x = 229.55

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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.