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Finding the Fourth Proportional to 295.88, 408.16 and 197.66

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Solution

The fourth proportional to 295.88, 408.16 and 197.66 is: 272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.88 : 408.16 = 197.66 : x
  2. Step 2: Convert to fraction form
    295.88/408.16 = 197.66/x
  3. Step 3: Cross multiply
    295.88x = 408.16 × 197.66
  4. Step 4: Simplify right side
    295.88x = 80,676.91
  5. Step 5: Solve for x
    x = 80,676.91/295.88
  6. Step 6: Final answer
    x = 272.67

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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.