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Finding the Fourth Proportional to 208.61, 312.91 and 71.75

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Solution

The fourth proportional to 208.61, 312.91 and 71.75 is: 107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.61 : 312.91 = 71.75 : x
  2. Step 2: Convert to fraction form
    208.61/312.91 = 71.75/x
  3. Step 3: Cross multiply
    208.61x = 312.91 × 71.75
  4. Step 4: Simplify right side
    208.61x = 22,451.90
  5. Step 5: Solve for x
    x = 22,451.90/208.61
  6. Step 6: Final answer
    x = 107.62

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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.