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Finding the Fourth Proportional to 548.82, 823.19 and 183.51

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Solution

The fourth proportional to 548.82, 823.19 and 183.51 is: 275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.82 : 823.19 = 183.51 : x
  2. Step 2: Convert to fraction form
    548.82/823.19 = 183.51/x
  3. Step 3: Cross multiply
    548.82x = 823.19 × 183.51
  4. Step 4: Simplify right side
    548.82x = 151,062.68
  5. Step 5: Solve for x
    x = 151,062.68/548.82
  6. Step 6: Final answer
    x = 275.25

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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.