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Finding the Fourth Proportional to 551.73, 827.58 and 166.98

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Solution

The fourth proportional to 551.73, 827.58 and 166.98 is: 250.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.73 : 827.58 = 166.98 : x
  2. Step 2: Convert to fraction form
    551.73/827.58 = 166.98/x
  3. Step 3: Cross multiply
    551.73x = 827.58 × 166.98
  4. Step 4: Simplify right side
    551.73x = 138,189.31
  5. Step 5: Solve for x
    x = 138,189.31/551.73
  6. Step 6: Final answer
    x = 250.47

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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.