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Finding the Fourth Proportional to 314.25, 433.65 and 196.25

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Solution

The fourth proportional to 314.25, 433.65 and 196.25 is: 270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.25 : 433.65 = 196.25 : x
  2. Step 2: Convert to fraction form
    314.25/433.65 = 196.25/x
  3. Step 3: Cross multiply
    314.25x = 433.65 × 196.25
  4. Step 4: Simplify right side
    314.25x = 85,103.60
  5. Step 5: Solve for x
    x = 85,103.60/314.25
  6. Step 6: Final answer
    x = 270.81

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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.