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Finding the Fourth Proportional to 208.74, 313.16 and 71.80

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Solution

The fourth proportional to 208.74, 313.16 and 71.80 is: 107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.74 : 313.16 = 71.80 : x
  2. Step 2: Convert to fraction form
    208.74/313.16 = 71.80/x
  3. Step 3: Cross multiply
    208.74x = 313.16 × 71.80
  4. Step 4: Simplify right side
    208.74x = 22,483.75
  5. Step 5: Solve for x
    x = 22,483.75/208.74
  6. Step 6: Final answer
    x = 107.71

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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.