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Finding the Fourth Proportional to 315.32, 434.97 and 197.27

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Solution

The fourth proportional to 315.32, 434.97 and 197.27 is: 272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.32 : 434.97 = 197.27 : x
  2. Step 2: Convert to fraction form
    315.32/434.97 = 197.27/x
  3. Step 3: Cross multiply
    315.32x = 434.97 × 197.27
  4. Step 4: Simplify right side
    315.32x = 85,806.53
  5. Step 5: Solve for x
    x = 85,806.53/315.32
  6. Step 6: Final answer
    x = 272.13

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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.