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Finding the Fourth Proportional to 208.91, 313.29 and 71.91

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Solution

The fourth proportional to 208.91, 313.29 and 71.91 is: 107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.91 : 313.29 = 71.91 : x
  2. Step 2: Convert to fraction form
    208.91/313.29 = 71.91/x
  3. Step 3: Cross multiply
    208.91x = 313.29 × 71.91
  4. Step 4: Simplify right side
    208.91x = 22,528.68
  5. Step 5: Solve for x
    x = 22,528.68/208.91
  6. Step 6: Final answer
    x = 107.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.