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Finding the Fourth Proportional to 278.22, 416.90 and 197.22

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Solution

The fourth proportional to 278.22, 416.90 and 197.22 is: 295.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.22 : 416.90 = 197.22 : x
  2. Step 2: Convert to fraction form
    278.22/416.90 = 197.22/x
  3. Step 3: Cross multiply
    278.22x = 416.90 × 197.22
  4. Step 4: Simplify right side
    278.22x = 82,221.02
  5. Step 5: Solve for x
    x = 82,221.02/278.22
  6. Step 6: Final answer
    x = 295.53

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Why These Related Problems?

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