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Finding the Fourth Proportional to 278.50, 416.21 and 224.14

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Solution

The fourth proportional to 278.50, 416.21 and 224.14 is: 334.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.50 : 416.21 = 224.14 : x
  2. Step 2: Convert to fraction form
    278.50/416.21 = 224.14/x
  3. Step 3: Cross multiply
    278.50x = 416.21 × 224.14
  4. Step 4: Simplify right side
    278.50x = 93,289.31
  5. Step 5: Solve for x
    x = 93,289.31/278.50
  6. Step 6: Final answer
    x = 334.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.