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Finding the Fourth Proportional to 296.56, 409.49 and 197.07

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Solution

The fourth proportional to 296.56, 409.49 and 197.07 is: 272.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.56 : 409.49 = 197.07 : x
  2. Step 2: Convert to fraction form
    296.56/409.49 = 197.07/x
  3. Step 3: Cross multiply
    296.56x = 409.49 × 197.07
  4. Step 4: Simplify right side
    296.56x = 80,698.19
  5. Step 5: Solve for x
    x = 80,698.19/296.56
  6. Step 6: Final answer
    x = 272.11

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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.