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Finding the Fourth Proportional to 195.34, 269.04 and 137.02

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Solution

The fourth proportional to 195.34, 269.04 and 137.02 is: 188.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.34 : 269.04 = 137.02 : x
  2. Step 2: Convert to fraction form
    195.34/269.04 = 137.02/x
  3. Step 3: Cross multiply
    195.34x = 269.04 × 137.02
  4. Step 4: Simplify right side
    195.34x = 36,863.86
  5. Step 5: Solve for x
    x = 36,863.86/195.34
  6. Step 6: Final answer
    x = 188.72

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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.