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Finding the Fourth Proportional to 195.52, 269.82 and 107.00

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Solution

The fourth proportional to 195.52, 269.82 and 107.00 is: 147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.52 : 269.82 = 107.00 : x
  2. Step 2: Convert to fraction form
    195.52/269.82 = 107.00/x
  3. Step 3: Cross multiply
    195.52x = 269.82 × 107.00
  4. Step 4: Simplify right side
    195.52x = 28,871.41
  5. Step 5: Solve for x
    x = 28,871.41/195.52
  6. Step 6: Final answer
    x = 147.66

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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.