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Finding the Fourth Proportional to 269.78, 372.37 and 153.41

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Solution

The fourth proportional to 269.78, 372.37 and 153.41 is: 211.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.78 : 372.37 = 153.41 : x
  2. Step 2: Convert to fraction form
    269.78/372.37 = 153.41/x
  3. Step 3: Cross multiply
    269.78x = 372.37 × 153.41
  4. Step 4: Simplify right side
    269.78x = 57,125.28
  5. Step 5: Solve for x
    x = 57,125.28/269.78
  6. Step 6: Final answer
    x = 211.75

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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.