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Finding the Fourth Proportional to 296.94, 409.78 and 197.42

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Solution

The fourth proportional to 296.94, 409.78 and 197.42 is: 272.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.94 : 409.78 = 197.42 : x
  2. Step 2: Convert to fraction form
    296.94/409.78 = 197.42/x
  3. Step 3: Cross multiply
    296.94x = 409.78 × 197.42
  4. Step 4: Simplify right side
    296.94x = 80,898.77
  5. Step 5: Solve for x
    x = 80,898.77/296.94
  6. Step 6: Final answer
    x = 272.44

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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.