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Finding the Fourth Proportional to 211.82, 318.26 and 208.42

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Solution

The fourth proportional to 211.82, 318.26 and 208.42 is: 313.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.82 : 318.26 = 208.42 : x
  2. Step 2: Convert to fraction form
    211.82/318.26 = 208.42/x
  3. Step 3: Cross multiply
    211.82x = 318.26 × 208.42
  4. Step 4: Simplify right side
    211.82x = 66,331.75
  5. Step 5: Solve for x
    x = 66,331.75/211.82
  6. Step 6: Final answer
    x = 313.15

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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.