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Finding the Fourth Proportional to 314.20, 471.30 and 206.56

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Solution

The fourth proportional to 314.20, 471.30 and 206.56 is: 309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.20 : 471.30 = 206.56 : x
  2. Step 2: Convert to fraction form
    314.20/471.30 = 206.56/x
  3. Step 3: Cross multiply
    314.20x = 471.30 × 206.56
  4. Step 4: Simplify right side
    314.20x = 97,351.73
  5. Step 5: Solve for x
    x = 97,351.73/314.20
  6. Step 6: Final answer
    x = 309.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.