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Finding the Fourth Proportional to 212.80, 319.20 and 204.70

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Solution

The fourth proportional to 212.80, 319.20 and 204.70 is: 307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.80 : 319.20 = 204.70 : x
  2. Step 2: Convert to fraction form
    212.80/319.20 = 204.70/x
  3. Step 3: Cross multiply
    212.80x = 319.20 × 204.70
  4. Step 4: Simplify right side
    212.80x = 65,340.24
  5. Step 5: Solve for x
    x = 65,340.24/212.80
  6. Step 6: Final answer
    x = 307.05

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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.