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Finding the Fourth Proportional to 278.32, 382.98 and 204.62

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Solution

The fourth proportional to 278.32, 382.98 and 204.62 is: 281.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.32 : 382.98 = 204.62 : x
  2. Step 2: Convert to fraction form
    278.32/382.98 = 204.62/x
  3. Step 3: Cross multiply
    278.32x = 382.98 × 204.62
  4. Step 4: Simplify right side
    278.32x = 78,365.37
  5. Step 5: Solve for x
    x = 78,365.37/278.32
  6. Step 6: Final answer
    x = 281.57

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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.