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Finding the Fourth Proportional to 208.37, 314.04 and 206.31

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Solution

The fourth proportional to 208.37, 314.04 and 206.31 is: 310.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.37 : 314.04 = 206.31 : x
  2. Step 2: Convert to fraction form
    208.37/314.04 = 206.31/x
  3. Step 3: Cross multiply
    208.37x = 314.04 × 206.31
  4. Step 4: Simplify right side
    208.37x = 64,789.59
  5. Step 5: Solve for x
    x = 64,789.59/208.37
  6. Step 6: Final answer
    x = 310.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.