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Finding the Fourth Proportional to 269.93, 372.50 and 196.56

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Solution

The fourth proportional to 269.93, 372.50 and 196.56 is: 271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.93 : 372.50 = 196.56 : x
  2. Step 2: Convert to fraction form
    269.93/372.50 = 196.56/x
  3. Step 3: Cross multiply
    269.93x = 372.50 × 196.56
  4. Step 4: Simplify right side
    269.93x = 73,218.35
  5. Step 5: Solve for x
    x = 73,218.35/269.93
  6. Step 6: Final answer
    x = 271.25

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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.