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Finding the Fourth Proportional to 311.64, 430.16 and 206.82

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Solution

The fourth proportional to 311.64, 430.16 and 206.82 is: 285.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.64 : 430.16 = 206.82 : x
  2. Step 2: Convert to fraction form
    311.64/430.16 = 206.82/x
  3. Step 3: Cross multiply
    311.64x = 430.16 × 206.82
  4. Step 4: Simplify right side
    311.64x = 88,965.69
  5. Step 5: Solve for x
    x = 88,965.69/311.64
  6. Step 6: Final answer
    x = 285.48

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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.