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Finding the Fourth Proportional to 206.49, 309.80 and 98.22

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Solution

The fourth proportional to 206.49, 309.80 and 98.22 is: 147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.49 : 309.80 = 98.22 : x
  2. Step 2: Convert to fraction form
    206.49/309.80 = 98.22/x
  3. Step 3: Cross multiply
    206.49x = 309.80 × 98.22
  4. Step 4: Simplify right side
    206.49x = 30,428.56
  5. Step 5: Solve for x
    x = 30,428.56/206.49
  6. Step 6: Final answer
    x = 147.36

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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.