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Finding the Fourth Proportional to 207.16, 309.83 and 165.85

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Solution

The fourth proportional to 207.16, 309.83 and 165.85 is: 248.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.16 : 309.83 = 165.85 : x
  2. Step 2: Convert to fraction form
    207.16/309.83 = 165.85/x
  3. Step 3: Cross multiply
    207.16x = 309.83 × 165.85
  4. Step 4: Simplify right side
    207.16x = 51,383.70
  5. Step 5: Solve for x
    x = 51,383.70/207.16
  6. Step 6: Final answer
    x = 248.04

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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.