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Finding the Fourth Proportional to 192.78, 266.10 and 182.99

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Solution

The fourth proportional to 192.78, 266.10 and 182.99 is: 252.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.78 : 266.10 = 182.99 : x
  2. Step 2: Convert to fraction form
    192.78/266.10 = 182.99/x
  3. Step 3: Cross multiply
    192.78x = 266.10 × 182.99
  4. Step 4: Simplify right side
    192.78x = 48,692.31
  5. Step 5: Solve for x
    x = 48,692.31/192.78
  6. Step 6: Final answer
    x = 252.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.