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Finding the Fourth Proportional to 195.48, 269.52 and 117.84

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Solution

The fourth proportional to 195.48, 269.52 and 117.84 is: 162.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.48 : 269.52 = 117.84 : x
  2. Step 2: Convert to fraction form
    195.48/269.52 = 117.84/x
  3. Step 3: Cross multiply
    195.48x = 269.52 × 117.84
  4. Step 4: Simplify right side
    195.48x = 31,760.24
  5. Step 5: Solve for x
    x = 31,760.24/195.48
  6. Step 6: Final answer
    x = 162.47

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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.