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Finding the Fourth Proportional to 311.42, 429.65 and 206.56

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Solution

The fourth proportional to 311.42, 429.65 and 206.56 is: 284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.42 : 429.65 = 206.56 : x
  2. Step 2: Convert to fraction form
    311.42/429.65 = 206.56/x
  3. Step 3: Cross multiply
    311.42x = 429.65 × 206.56
  4. Step 4: Simplify right side
    311.42x = 88,748.50
  5. Step 5: Solve for x
    x = 88,748.50/311.42
  6. Step 6: Final answer
    x = 284.98

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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.