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Finding the Fourth Proportional to 548.70, 823.08 and 183.48

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Solution

The fourth proportional to 548.70, 823.08 and 183.48 is: 275.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.70 : 823.08 = 183.48 : x
  2. Step 2: Convert to fraction form
    548.70/823.08 = 183.48/x
  3. Step 3: Cross multiply
    548.70x = 823.08 × 183.48
  4. Step 4: Simplify right side
    548.70x = 151,018.72
  5. Step 5: Solve for x
    x = 151,018.72/548.70
  6. Step 6: Final answer
    x = 275.23

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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.