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Finding the Fourth Proportional to 278.10, 383.67 and 204.26

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Solution

The fourth proportional to 278.10, 383.67 and 204.26 is: 281.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.10 : 383.67 = 204.26 : x
  2. Step 2: Convert to fraction form
    278.10/383.67 = 204.26/x
  3. Step 3: Cross multiply
    278.10x = 383.67 × 204.26
  4. Step 4: Simplify right side
    278.10x = 78,366.52
  5. Step 5: Solve for x
    x = 78,366.52/278.10
  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.