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Finding the Fourth Proportional to 195.04, 269.16 and 107.72

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Solution

The fourth proportional to 195.04, 269.16 and 107.72 is: 148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.04 : 269.16 = 107.72 : x
  2. Step 2: Convert to fraction form
    195.04/269.16 = 107.72/x
  3. Step 3: Cross multiply
    195.04x = 269.16 × 107.72
  4. Step 4: Simplify right side
    195.04x = 28,992.03
  5. Step 5: Solve for x
    x = 28,992.03/195.04
  6. Step 6: Final answer
    x = 148.65

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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.