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Finding the Fourth Proportional to 360.05, 540.27 and 197.78

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Solution

The fourth proportional to 360.05, 540.27 and 197.78 is: 296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.05 : 540.27 = 197.78 : x
  2. Step 2: Convert to fraction form
    360.05/540.27 = 197.78/x
  3. Step 3: Cross multiply
    360.05x = 540.27 × 197.78
  4. Step 4: Simplify right side
    360.05x = 106,851.90
  5. Step 5: Solve for x
    x = 106,851.90/360.05
  6. Step 6: Final answer
    x = 296.77

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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.