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Finding the Fourth Proportional to 296.80, 409.57 and 198.54

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Solution

The fourth proportional to 296.80, 409.57 and 198.54 is: 273.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.80 : 409.57 = 198.54 : x
  2. Step 2: Convert to fraction form
    296.80/409.57 = 198.54/x
  3. Step 3: Cross multiply
    296.80x = 409.57 × 198.54
  4. Step 4: Simplify right side
    296.80x = 81,315.53
  5. Step 5: Solve for x
    x = 81,315.53/296.80
  6. Step 6: Final answer
    x = 273.98

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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.