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Finding the Fourth Proportional to 208.81, 313.27 and 85.42

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Solution

The fourth proportional to 208.81, 313.27 and 85.42 is: 128.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.81 : 313.27 = 85.42 : x
  2. Step 2: Convert to fraction form
    208.81/313.27 = 85.42/x
  3. Step 3: Cross multiply
    208.81x = 313.27 × 85.42
  4. Step 4: Simplify right side
    208.81x = 26,759.70
  5. Step 5: Solve for x
    x = 26,759.70/208.81
  6. Step 6: Final answer
    x = 128.15

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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.