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Finding the Fourth Proportional to 208.66, 313.17 and 80.50

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Solution

The fourth proportional to 208.66, 313.17 and 80.50 is: 120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.66 : 313.17 = 80.50 : x
  2. Step 2: Convert to fraction form
    208.66/313.17 = 80.50/x
  3. Step 3: Cross multiply
    208.66x = 313.17 × 80.50
  4. Step 4: Simplify right side
    208.66x = 25,209.10
  5. Step 5: Solve for x
    x = 25,209.10/208.66
  6. Step 6: Final answer
    x = 120.82

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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.