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Finding the Fourth Proportional to 206.16, 309.27 and 69.24

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Solution

The fourth proportional to 206.16, 309.27 and 69.24 is: 103.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.16 : 309.27 = 69.24 : x
  2. Step 2: Convert to fraction form
    206.16/309.27 = 69.24/x
  3. Step 3: Cross multiply
    206.16x = 309.27 × 69.24
  4. Step 4: Simplify right side
    206.16x = 21,413.85
  5. Step 5: Solve for x
    x = 21,413.85/206.16
  6. Step 6: Final answer
    x = 103.87

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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.