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Finding the Fourth Proportional to 278.15, 416.45 and 209.46

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Solution

The fourth proportional to 278.15, 416.45 and 209.46 is: 313.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.15 : 416.45 = 209.46 : x
  2. Step 2: Convert to fraction form
    278.15/416.45 = 209.46/x
  3. Step 3: Cross multiply
    278.15x = 416.45 × 209.46
  4. Step 4: Simplify right side
    278.15x = 87,229.94
  5. Step 5: Solve for x
    x = 87,229.94/278.15
  6. Step 6: Final answer
    x = 313.61

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