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Finding the Fourth Proportional to 269.68, 372.06 and 153.22

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Solution

The fourth proportional to 269.68, 372.06 and 153.22 is: 211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.68 : 372.06 = 153.22 : x
  2. Step 2: Convert to fraction form
    269.68/372.06 = 153.22/x
  3. Step 3: Cross multiply
    269.68x = 372.06 × 153.22
  4. Step 4: Simplify right side
    269.68x = 57,007.03
  5. Step 5: Solve for x
    x = 57,007.03/269.68
  6. Step 6: Final answer
    x = 211.39

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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.