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Finding the Fourth Proportional to 282.43, 389.30 and 199.40

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Solution

The fourth proportional to 282.43, 389.30 and 199.40 is: 274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.43 : 389.30 = 199.40 : x
  2. Step 2: Convert to fraction form
    282.43/389.30 = 199.40/x
  3. Step 3: Cross multiply
    282.43x = 389.30 × 199.40
  4. Step 4: Simplify right side
    282.43x = 77,626.40
  5. Step 5: Solve for x
    x = 77,626.40/282.43
  6. Step 6: Final answer
    x = 274.85

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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.