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Finding the Fourth Proportional to 360, 539.84 and 197.76

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Solution

The fourth proportional to 360, 539.84 and 197.76 is: 296.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    360 : 539.84 = 197.76 : x
  2. Step 2: Convert to fraction form
    360/539.84 = 197.76/x
  3. Step 3: Cross multiply
    360x = 539.84 × 197.76
  4. Step 4: Simplify right side
    360x = 106,758.76
  5. Step 5: Solve for x
    x = 106,758.76/360
  6. Step 6: Final answer
    x = 296.55

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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.