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Finding the Fourth Proportional to 208.15, 311.75 and 103.85

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Solution

The fourth proportional to 208.15, 311.75 and 103.85 is: 155.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.15 : 311.75 = 103.85 : x
  2. Step 2: Convert to fraction form
    208.15/311.75 = 103.85/x
  3. Step 3: Cross multiply
    208.15x = 311.75 × 103.85
  4. Step 4: Simplify right side
    208.15x = 32,373.16
  5. Step 5: Solve for x
    x = 32,373.16/208.15
  6. Step 6: Final answer
    x = 155.53

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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.