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Finding the Fourth Proportional to 296.86, 409.12 and 197.10

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Solution

The fourth proportional to 296.86, 409.12 and 197.10 is: 271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.86 : 409.12 = 197.10 : x
  2. Step 2: Convert to fraction form
    296.86/409.12 = 197.10/x
  3. Step 3: Cross multiply
    296.86x = 409.12 × 197.10
  4. Step 4: Simplify right side
    296.86x = 80,635.51
  5. Step 5: Solve for x
    x = 80,635.51/296.86
  6. Step 6: Final answer
    x = 271.63

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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.