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Finding the Fourth Proportional to 278.46, 385.01 and 243.85

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Solution

The fourth proportional to 278.46, 385.01 and 243.85 is: 337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.46 : 385.01 = 243.85 : x
  2. Step 2: Convert to fraction form
    278.46/385.01 = 243.85/x
  3. Step 3: Cross multiply
    278.46x = 385.01 × 243.85
  4. Step 4: Simplify right side
    278.46x = 93,883.47
  5. Step 5: Solve for x
    x = 93,883.47/278.46
  6. Step 6: Final answer
    x = 337.16

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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.