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Finding the Fourth Proportional to 269.23, 371.54 and 149.60

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Solution

The fourth proportional to 269.23, 371.54 and 149.60 is: 206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.23 : 371.54 = 149.60 : x
  2. Step 2: Convert to fraction form
    269.23/371.54 = 149.60/x
  3. Step 3: Cross multiply
    269.23x = 371.54 × 149.60
  4. Step 4: Simplify right side
    269.23x = 55,582.38
  5. Step 5: Solve for x
    x = 55,582.38/269.23
  6. Step 6: Final answer
    x = 206.45

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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.