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Finding the Fourth Proportional to 314.33, 433.72 and 197.81

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Solution

The fourth proportional to 314.33, 433.72 and 197.81 is: 272.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.33 : 433.72 = 197.81 : x
  2. Step 2: Convert to fraction form
    314.33/433.72 = 197.81/x
  3. Step 3: Cross multiply
    314.33x = 433.72 × 197.81
  4. Step 4: Simplify right side
    314.33x = 85,794.15
  5. Step 5: Solve for x
    x = 85,794.15/314.33
  6. Step 6: Final answer
    x = 272.94

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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.