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Finding the Fourth Proportional to 204.66, 307.26 and 192.78

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Solution

The fourth proportional to 204.66, 307.26 and 192.78 is: 289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.66 : 307.26 = 192.78 : x
  2. Step 2: Convert to fraction form
    204.66/307.26 = 192.78/x
  3. Step 3: Cross multiply
    204.66x = 307.26 × 192.78
  4. Step 4: Simplify right side
    204.66x = 59,233.58
  5. Step 5: Solve for x
    x = 59,233.58/204.66
  6. Step 6: Final answer
    x = 289.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.