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Finding the Fourth Proportional to 282.06, 389.31 and 269.04

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Solution

The fourth proportional to 282.06, 389.31 and 269.04 is: 371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.06 : 389.31 = 269.04 : x
  2. Step 2: Convert to fraction form
    282.06/389.31 = 269.04/x
  3. Step 3: Cross multiply
    282.06x = 389.31 × 269.04
  4. Step 4: Simplify right side
    282.06x = 104,739.96
  5. Step 5: Solve for x
    x = 104,739.96/282.06
  6. Step 6: Final answer
    x = 371.34

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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.