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Finding the Fourth Proportional to 275.15, 378.50 and 224.80

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Solution

The fourth proportional to 275.15, 378.50 and 224.80 is: 309.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.15 : 378.50 = 224.80 : x
  2. Step 2: Convert to fraction form
    275.15/378.50 = 224.80/x
  3. Step 3: Cross multiply
    275.15x = 378.50 × 224.80
  4. Step 4: Simplify right side
    275.15x = 85,084.73
  5. Step 5: Solve for x
    x = 85,084.73/275.15
  6. Step 6: Final answer
    x = 309.23

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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.