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Finding the Fourth Proportional to 282.16, 389.20 and 238.44

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Solution

The fourth proportional to 282.16, 389.20 and 238.44 is: 328.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.16 : 389.20 = 238.44 : x
  2. Step 2: Convert to fraction form
    282.16/389.20 = 238.44/x
  3. Step 3: Cross multiply
    282.16x = 389.20 × 238.44
  4. Step 4: Simplify right side
    282.16x = 92,800.85
  5. Step 5: Solve for x
    x = 92,800.85/282.16
  6. Step 6: Final answer
    x = 328.89

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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.