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Finding the Fourth Proportional to 206.14, 309.35 and 165.91

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Solution

The fourth proportional to 206.14, 309.35 and 165.91 is: 248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.14 : 309.35 = 165.91 : x
  2. Step 2: Convert to fraction form
    206.14/309.35 = 165.91/x
  3. Step 3: Cross multiply
    206.14x = 309.35 × 165.91
  4. Step 4: Simplify right side
    206.14x = 51,324.26
  5. Step 5: Solve for x
    x = 51,324.26/206.14
  6. Step 6: Final answer
    x = 248.98

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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.