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Finding the Fourth Proportional to 314.26, 433.68 and 197.75

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Solution

The fourth proportional to 314.26, 433.68 and 197.75 is: 272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.26 : 433.68 = 197.75 : x
  2. Step 2: Convert to fraction form
    314.26/433.68 = 197.75/x
  3. Step 3: Cross multiply
    314.26x = 433.68 × 197.75
  4. Step 4: Simplify right side
    314.26x = 85,760.22
  5. Step 5: Solve for x
    x = 85,760.22/314.26
  6. Step 6: Final answer
    x = 272.90

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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.