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Finding the Fourth Proportional to 195.42, 269.44 and 160.32

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Solution

The fourth proportional to 195.42, 269.44 and 160.32 is: 221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.42 : 269.44 = 160.32 : x
  2. Step 2: Convert to fraction form
    195.42/269.44 = 160.32/x
  3. Step 3: Cross multiply
    195.42x = 269.44 × 160.32
  4. Step 4: Simplify right side
    195.42x = 43,196.62
  5. Step 5: Solve for x
    x = 43,196.62/195.42
  6. Step 6: Final answer
    x = 221.05

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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.