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Finding the Fourth Proportional to 212.43, 291.53 and 208.83

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Solution

The fourth proportional to 212.43, 291.53 and 208.83 is: 286.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.43 : 291.53 = 208.83 : x
  2. Step 2: Convert to fraction form
    212.43/291.53 = 208.83/x
  3. Step 3: Cross multiply
    212.43x = 291.53 × 208.83
  4. Step 4: Simplify right side
    212.43x = 60,879.17
  5. Step 5: Solve for x
    x = 60,879.17/212.43
  6. Step 6: Final answer
    x = 286.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.