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Finding the Fourth Proportional to 213.40, 320.30 and 208.39

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Solution

The fourth proportional to 213.40, 320.30 and 208.39 is: 312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.40 : 320.30 = 208.39 : x
  2. Step 2: Convert to fraction form
    213.40/320.30 = 208.39/x
  3. Step 3: Cross multiply
    213.40x = 320.30 × 208.39
  4. Step 4: Simplify right side
    213.40x = 66,748.03
  5. Step 5: Solve for x
    x = 66,748.03/213.40
  6. Step 6: Final answer
    x = 312.78

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