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Finding the Fourth Proportional to 360.40, 540.76 and 197.88

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Solution

The fourth proportional to 360.40, 540.76 and 197.88 is: 296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.40 : 540.76 = 197.88 : x
  2. Step 2: Convert to fraction form
    360.40/540.76 = 197.88/x
  3. Step 3: Cross multiply
    360.40x = 540.76 × 197.88
  4. Step 4: Simplify right side
    360.40x = 107,005.59
  5. Step 5: Solve for x
    x = 107,005.59/360.40
  6. Step 6: Final answer
    x = 296.91

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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.