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Finding the Fourth Proportional to 269.76, 371.79 and 265.08

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Solution

The fourth proportional to 269.76, 371.79 and 265.08 is: 365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.76 : 371.79 = 265.08 : x
  2. Step 2: Convert to fraction form
    269.76/371.79 = 265.08/x
  3. Step 3: Cross multiply
    269.76x = 371.79 × 265.08
  4. Step 4: Simplify right side
    269.76x = 98,554.09
  5. Step 5: Solve for x
    x = 98,554.09/269.76
  6. Step 6: Final answer
    x = 365.34

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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.