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Finding the Fourth Proportional to 212.14, 294.68 and 208.83

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Solution

The fourth proportional to 212.14, 294.68 and 208.83 is: 290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.14 : 294.68 = 208.83 : x
  2. Step 2: Convert to fraction form
    212.14/294.68 = 208.83/x
  3. Step 3: Cross multiply
    212.14x = 294.68 × 208.83
  4. Step 4: Simplify right side
    212.14x = 61,538.02
  5. Step 5: Solve for x
    x = 61,538.02/212.14
  6. Step 6: Final answer
    x = 290.08

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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.