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Finding the Fourth Proportional to 296.95, 409.63 and 198.76

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Solution

The fourth proportional to 296.95, 409.63 and 198.76 is: 274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.95 : 409.63 = 198.76 : x
  2. Step 2: Convert to fraction form
    296.95/409.63 = 198.76/x
  3. Step 3: Cross multiply
    296.95x = 409.63 × 198.76
  4. Step 4: Simplify right side
    296.95x = 81,418.06
  5. Step 5: Solve for x
    x = 81,418.06/296.95
  6. Step 6: Final answer
    x = 274.18

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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.