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Finding the Fourth Proportional to 208.25, 312.51 and 80

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Solution

The fourth proportional to 208.25, 312.51 and 80 is: 120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.25 : 312.51 = 80 : x
  2. Step 2: Convert to fraction form
    208.25/312.51 = 80/x
  3. Step 3: Cross multiply
    208.25x = 312.51 × 80
  4. Step 4: Simplify right side
    208.25x = 25,000.80
  5. Step 5: Solve for x
    x = 25,000.80/208.25
  6. Step 6: Final answer
    x = 120.05

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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.