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Finding the Fourth Proportional to 208.40, 310.82 and 205.29

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Solution

The fourth proportional to 208.40, 310.82 and 205.29 is: 306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.40 : 310.82 = 205.29 : x
  2. Step 2: Convert to fraction form
    208.40/310.82 = 205.29/x
  3. Step 3: Cross multiply
    208.40x = 310.82 × 205.29
  4. Step 4: Simplify right side
    208.40x = 63,807.21
  5. Step 5: Solve for x
    x = 63,807.21/208.40
  6. Step 6: Final answer
    x = 306.18

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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.