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Finding the Fourth Proportional to 212.71, 294.81 and 208.82

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Solution

The fourth proportional to 212.71, 294.81 and 208.82 is: 289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.71 : 294.81 = 208.82 : x
  2. Step 2: Convert to fraction form
    212.71/294.81 = 208.82/x
  3. Step 3: Cross multiply
    212.71x = 294.81 × 208.82
  4. Step 4: Simplify right side
    212.71x = 61,561.18
  5. Step 5: Solve for x
    x = 61,561.18/212.71
  6. Step 6: Final answer
    x = 289.42

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.