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Finding the Fourth Proportional to 282.59, 390.12 and 204.12

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Solution

The fourth proportional to 282.59, 390.12 and 204.12 is: 281.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.59 : 390.12 = 204.12 : x
  2. Step 2: Convert to fraction form
    282.59/390.12 = 204.12/x
  3. Step 3: Cross multiply
    282.59x = 390.12 × 204.12
  4. Step 4: Simplify right side
    282.59x = 79,630.53
  5. Step 5: Solve for x
    x = 79,630.53/282.59
  6. Step 6: Final answer
    x = 281.79

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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.