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Finding the Fourth Proportional to 209.30, 313.47 and 204.74

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Solution

The fourth proportional to 209.30, 313.47 and 204.74 is: 306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.30 : 313.47 = 204.74 : x
  2. Step 2: Convert to fraction form
    209.30/313.47 = 204.74/x
  3. Step 3: Cross multiply
    209.30x = 313.47 × 204.74
  4. Step 4: Simplify right side
    209.30x = 64,179.85
  5. Step 5: Solve for x
    x = 64,179.85/209.30
  6. Step 6: Final answer
    x = 306.64

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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.