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Finding the Fourth Proportional to 282.42, 389.56 and 182.96

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Solution

The fourth proportional to 282.42, 389.56 and 182.96 is: 252.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.42 : 389.56 = 182.96 : x
  2. Step 2: Convert to fraction form
    282.42/389.56 = 182.96/x
  3. Step 3: Cross multiply
    282.42x = 389.56 × 182.96
  4. Step 4: Simplify right side
    282.42x = 71,273.30
  5. Step 5: Solve for x
    x = 71,273.30/282.42
  6. Step 6: Final answer
    x = 252.37

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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.