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Finding the Fourth Proportional to 205.53, 307.78 and 166.75

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Solution

The fourth proportional to 205.53, 307.78 and 166.75 is: 249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.53 : 307.78 = 166.75 : x
  2. Step 2: Convert to fraction form
    205.53/307.78 = 166.75/x
  3. Step 3: Cross multiply
    205.53x = 307.78 × 166.75
  4. Step 4: Simplify right side
    205.53x = 51,322.32
  5. Step 5: Solve for x
    x = 51,322.32/205.53
  6. Step 6: Final answer
    x = 249.71

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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.