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Finding the Fourth Proportional to 206.24, 309.37 and 102.22

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Solution

The fourth proportional to 206.24, 309.37 and 102.22 is: 153.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.24 : 309.37 = 102.22 : x
  2. Step 2: Convert to fraction form
    206.24/309.37 = 102.22/x
  3. Step 3: Cross multiply
    206.24x = 309.37 × 102.22
  4. Step 4: Simplify right side
    206.24x = 31,621.74
  5. Step 5: Solve for x
    x = 31,621.74/206.24
  6. Step 6: Final answer
    x = 153.33

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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.