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Finding the Fourth Proportional to 206.69, 309.74 and 120.02

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Solution

The fourth proportional to 206.69, 309.74 and 120.02 is: 179.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.69 : 309.74 = 120.02 : x
  2. Step 2: Convert to fraction form
    206.69/309.74 = 120.02/x
  3. Step 3: Cross multiply
    206.69x = 309.74 × 120.02
  4. Step 4: Simplify right side
    206.69x = 37,174.99
  5. Step 5: Solve for x
    x = 37,174.99/206.69
  6. Step 6: Final answer
    x = 179.86

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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.