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Finding the Fourth Proportional to 208.89, 313.29 and 97.71

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Solution

The fourth proportional to 208.89, 313.29 and 97.71 is: 146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.89 : 313.29 = 97.71 : x
  2. Step 2: Convert to fraction form
    208.89/313.29 = 97.71/x
  3. Step 3: Cross multiply
    208.89x = 313.29 × 97.71
  4. Step 4: Simplify right side
    208.89x = 30,611.57
  5. Step 5: Solve for x
    x = 30,611.57/208.89
  6. Step 6: Final answer
    x = 146.54

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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.