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Finding the Fourth Proportional to 295.11, 407.16 and 196.97

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Solution

The fourth proportional to 295.11, 407.16 and 196.97 is: 271.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.11 : 407.16 = 196.97 : x
  2. Step 2: Convert to fraction form
    295.11/407.16 = 196.97/x
  3. Step 3: Cross multiply
    295.11x = 407.16 × 196.97
  4. Step 4: Simplify right side
    295.11x = 80,196.27
  5. Step 5: Solve for x
    x = 80,196.27/295.11
  6. Step 6: Final answer
    x = 271.75

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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.