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Finding the Fourth Proportional to 195.08, 269.04 and 158.12

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Solution

The fourth proportional to 195.08, 269.04 and 158.12 is: 218.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.08 : 269.04 = 158.12 : x
  2. Step 2: Convert to fraction form
    195.08/269.04 = 158.12/x
  3. Step 3: Cross multiply
    195.08x = 269.04 × 158.12
  4. Step 4: Simplify right side
    195.08x = 42,540.60
  5. Step 5: Solve for x
    x = 42,540.60/195.08
  6. Step 6: Final answer
    x = 218.07

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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.