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Finding the Fourth Proportional to 206.01, 309 and 69.06

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Solution

The fourth proportional to 206.01, 309 and 69.06 is: 103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.01 : 309 = 69.06 : x
  2. Step 2: Convert to fraction form
    206.01/309 = 69.06/x
  3. Step 3: Cross multiply
    206.01x = 309 × 69.06
  4. Step 4: Simplify right side
    206.01x = 21,339.54
  5. Step 5: Solve for x
    x = 21,339.54/206.01
  6. Step 6: Final answer
    x = 103.58

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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.