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Finding the Fourth Proportional to 314.22, 433.53 and 196.31

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Solution

The fourth proportional to 314.22, 433.53 and 196.31 is: 270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.22 : 433.53 = 196.31 : x
  2. Step 2: Convert to fraction form
    314.22/433.53 = 196.31/x
  3. Step 3: Cross multiply
    314.22x = 433.53 × 196.31
  4. Step 4: Simplify right side
    314.22x = 85,106.92
  5. Step 5: Solve for x
    x = 85,106.92/314.22
  6. Step 6: Final answer
    x = 270.85

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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.