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Finding the Fourth Proportional to 296.97, 409.93 and 198.69

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Solution

The fourth proportional to 296.97, 409.93 and 198.69 is: 274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.97 : 409.93 = 198.69 : x
  2. Step 2: Convert to fraction form
    296.97/409.93 = 198.69/x
  3. Step 3: Cross multiply
    296.97x = 409.93 × 198.69
  4. Step 4: Simplify right side
    296.97x = 81,445.95
  5. Step 5: Solve for x
    x = 81,445.95/296.97
  6. Step 6: Final answer
    x = 274.26

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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.