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Finding the Fourth Proportional to 269.54, 371.98 and 159.02

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Solution

The fourth proportional to 269.54, 371.98 and 159.02 is: 219.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.54 : 371.98 = 159.02 : x
  2. Step 2: Convert to fraction form
    269.54/371.98 = 159.02/x
  3. Step 3: Cross multiply
    269.54x = 371.98 × 159.02
  4. Step 4: Simplify right side
    269.54x = 59,152.26
  5. Step 5: Solve for x
    x = 59,152.26/269.54
  6. Step 6: Final answer
    x = 219.46

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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.