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Finding the Fourth Proportional to 195.18, 269.08 and 160.05

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Solution

The fourth proportional to 195.18, 269.08 and 160.05 is: 220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.18 : 269.08 = 160.05 : x
  2. Step 2: Convert to fraction form
    195.18/269.08 = 160.05/x
  3. Step 3: Cross multiply
    195.18x = 269.08 × 160.05
  4. Step 4: Simplify right side
    195.18x = 43,066.25
  5. Step 5: Solve for x
    x = 43,066.25/195.18
  6. Step 6: Final answer
    x = 220.65

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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.