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Finding the Fourth Proportional to 552.01, 827.94 and 186.82

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Solution

The fourth proportional to 552.01, 827.94 and 186.82 is: 280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.01 : 827.94 = 186.82 : x
  2. Step 2: Convert to fraction form
    552.01/827.94 = 186.82/x
  3. Step 3: Cross multiply
    552.01x = 827.94 × 186.82
  4. Step 4: Simplify right side
    552.01x = 154,675.75
  5. Step 5: Solve for x
    x = 154,675.75/552.01
  6. Step 6: Final answer
    x = 280.20

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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.