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Finding the Fourth Proportional to 212.13, 316.64 and 196.70

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Solution

The fourth proportional to 212.13, 316.64 and 196.70 is: 293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.13 : 316.64 = 196.70 : x
  2. Step 2: Convert to fraction form
    212.13/316.64 = 196.70/x
  3. Step 3: Cross multiply
    212.13x = 316.64 × 196.70
  4. Step 4: Simplify right side
    212.13x = 62,280.52
  5. Step 5: Solve for x
    x = 62,280.52/212.13
  6. Step 6: Final answer
    x = 293.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.