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Finding the Fourth Proportional to 315.12, 434.83 and 197.26

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Solution

The fourth proportional to 315.12, 434.83 and 197.26 is: 272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.12 : 434.83 = 197.26 : x
  2. Step 2: Convert to fraction form
    315.12/434.83 = 197.26/x
  3. Step 3: Cross multiply
    315.12x = 434.83 × 197.26
  4. Step 4: Simplify right side
    315.12x = 85,774.57
  5. Step 5: Solve for x
    x = 85,774.57/315.12
  6. Step 6: Final answer
    x = 272.20

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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.