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Finding the Fourth Proportional to 282.06, 389.34 and 194.85

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Solution

The fourth proportional to 282.06, 389.34 and 194.85 is: 268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.06 : 389.34 = 194.85 : x
  2. Step 2: Convert to fraction form
    282.06/389.34 = 194.85/x
  3. Step 3: Cross multiply
    282.06x = 389.34 × 194.85
  4. Step 4: Simplify right side
    282.06x = 75,862.90
  5. Step 5: Solve for x
    x = 75,862.90/282.06
  6. Step 6: Final answer
    x = 268.96

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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.