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Finding the Fourth Proportional to 206.24, 308.99 and 148.37

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Solution

The fourth proportional to 206.24, 308.99 and 148.37 is: 222.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.24 : 308.99 = 148.37 : x
  2. Step 2: Convert to fraction form
    206.24/308.99 = 148.37/x
  3. Step 3: Cross multiply
    206.24x = 308.99 × 148.37
  4. Step 4: Simplify right side
    206.24x = 45,843.67
  5. Step 5: Solve for x
    x = 45,843.67/206.24
  6. Step 6: Final answer
    x = 222.29

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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.