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Finding the Fourth Proportional to 314.24, 433.56 and 200.66

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Solution

The fourth proportional to 314.24, 433.56 and 200.66 is: 276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.24 : 433.56 = 200.66 : x
  2. Step 2: Convert to fraction form
    314.24/433.56 = 200.66/x
  3. Step 3: Cross multiply
    314.24x = 433.56 × 200.66
  4. Step 4: Simplify right side
    314.24x = 86,998.15
  5. Step 5: Solve for x
    x = 86,998.15/314.24
  6. Step 6: Final answer
    x = 276.85

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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.