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Finding the Fourth Proportional to 195.57, 269.64 and 160.20

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Solution

The fourth proportional to 195.57, 269.64 and 160.20 is: 220.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.57 : 269.64 = 160.20 : x
  2. Step 2: Convert to fraction form
    195.57/269.64 = 160.20/x
  3. Step 3: Cross multiply
    195.57x = 269.64 × 160.20
  4. Step 4: Simplify right side
    195.57x = 43,196.33
  5. Step 5: Solve for x
    x = 43,196.33/195.57
  6. Step 6: Final answer
    x = 220.87

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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.