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Finding the Fourth Proportional to 205.02, 306.30 and 168.57

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Solution

The fourth proportional to 205.02, 306.30 and 168.57 is: 251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.02 : 306.30 = 168.57 : x
  2. Step 2: Convert to fraction form
    205.02/306.30 = 168.57/x
  3. Step 3: Cross multiply
    205.02x = 306.30 × 168.57
  4. Step 4: Simplify right side
    205.02x = 51,632.99
  5. Step 5: Solve for x
    x = 51,632.99/205.02
  6. Step 6: Final answer
    x = 251.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.