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Finding the Fourth Proportional to 295.18, 407.25 and 196.92

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Solution

The fourth proportional to 295.18, 407.25 and 196.92 is: 271.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.18 : 407.25 = 196.92 : x
  2. Step 2: Convert to fraction form
    295.18/407.25 = 196.92/x
  3. Step 3: Cross multiply
    295.18x = 407.25 × 196.92
  4. Step 4: Simplify right side
    295.18x = 80,195.67
  5. Step 5: Solve for x
    x = 80,195.67/295.18
  6. Step 6: Final answer
    x = 271.69

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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.