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Finding the Fourth Proportional to 204.44, 307.79 and 166.28

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Solution

The fourth proportional to 204.44, 307.79 and 166.28 is: 250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.44 : 307.79 = 166.28 : x
  2. Step 2: Convert to fraction form
    204.44/307.79 = 166.28/x
  3. Step 3: Cross multiply
    204.44x = 307.79 × 166.28
  4. Step 4: Simplify right side
    204.44x = 51,179.32
  5. Step 5: Solve for x
    x = 51,179.32/204.44
  6. Step 6: Final answer
    x = 250.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.