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Finding the Fourth Proportional to 278.24, 416.90 and 224.02

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Solution

The fourth proportional to 278.24, 416.90 and 224.02 is: 335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.24 : 416.90 = 224.02 : x
  2. Step 2: Convert to fraction form
    278.24/416.90 = 224.02/x
  3. Step 3: Cross multiply
    278.24x = 416.90 × 224.02
  4. Step 4: Simplify right side
    278.24x = 93,391.41
  5. Step 5: Solve for x
    x = 93,391.41/278.24
  6. Step 6: Final answer
    x = 335.66

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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.