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Finding the Fourth Proportional to 278.34, 383.84 and 204.24

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Solution

The fourth proportional to 278.34, 383.84 and 204.24 is: 281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.34 : 383.84 = 204.24 : x
  2. Step 2: Convert to fraction form
    278.34/383.84 = 204.24/x
  3. Step 3: Cross multiply
    278.34x = 383.84 × 204.24
  4. Step 4: Simplify right side
    278.34x = 78,394.46
  5. Step 5: Solve for x
    x = 78,394.46/278.34
  6. Step 6: Final answer
    x = 281.65

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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.