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Finding the Fourth Proportional to 314.19, 433.62 and 197.73

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Solution

The fourth proportional to 314.19, 433.62 and 197.73 is: 272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.19 : 433.62 = 197.73 : x
  2. Step 2: Convert to fraction form
    314.19/433.62 = 197.73/x
  3. Step 3: Cross multiply
    314.19x = 433.62 × 197.73
  4. Step 4: Simplify right side
    314.19x = 85,739.68
  5. Step 5: Solve for x
    x = 85,739.68/314.19
  6. Step 6: Final answer
    x = 272.89

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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.