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Finding the Fourth Proportional to 269.30, 371.72 and 176.06

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Solution

The fourth proportional to 269.30, 371.72 and 176.06 is: 243.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.30 : 371.72 = 176.06 : x
  2. Step 2: Convert to fraction form
    269.30/371.72 = 176.06/x
  3. Step 3: Cross multiply
    269.30x = 371.72 × 176.06
  4. Step 4: Simplify right side
    269.30x = 65,445.73
  5. Step 5: Solve for x
    x = 65,445.73/269.30
  6. Step 6: Final answer
    x = 243.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.