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Finding the Fourth Proportional to 195.78, 269.64 and 195.24

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Solution

The fourth proportional to 195.78, 269.64 and 195.24 is: 268.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.78 : 269.64 = 195.24 : x
  2. Step 2: Convert to fraction form
    195.78/269.64 = 195.24/x
  3. Step 3: Cross multiply
    195.78x = 269.64 × 195.24
  4. Step 4: Simplify right side
    195.78x = 52,644.51
  5. Step 5: Solve for x
    x = 52,644.51/195.78
  6. Step 6: Final answer
    x = 268.90

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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.