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Finding the Fourth Proportional to 315.15, 434.85 and 197.11

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Solution

The fourth proportional to 315.15, 434.85 and 197.11 is: 271.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.15 : 434.85 = 197.11 : x
  2. Step 2: Convert to fraction form
    315.15/434.85 = 197.11/x
  3. Step 3: Cross multiply
    315.15x = 434.85 × 197.11
  4. Step 4: Simplify right side
    315.15x = 85,711.11
  5. Step 5: Solve for x
    x = 85,711.11/315.15
  6. Step 6: Final answer
    x = 271.97

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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.