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Finding the Fourth Proportional to 278.22, 416.52 and 204.84

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Solution

The fourth proportional to 278.22, 416.52 and 204.84 is: 306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.22 : 416.52 = 204.84 : x
  2. Step 2: Convert to fraction form
    278.22/416.52 = 204.84/x
  3. Step 3: Cross multiply
    278.22x = 416.52 × 204.84
  4. Step 4: Simplify right side
    278.22x = 85,319.96
  5. Step 5: Solve for x
    x = 85,319.96/278.22
  6. Step 6: Final answer
    x = 306.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.