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Finding the Fourth Proportional to 548.40, 822.29 and 182.99

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Solution

The fourth proportional to 548.40, 822.29 and 182.99 is: 274.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.40 : 822.29 = 182.99 : x
  2. Step 2: Convert to fraction form
    548.40/822.29 = 182.99/x
  3. Step 3: Cross multiply
    548.40x = 822.29 × 182.99
  4. Step 4: Simplify right side
    548.40x = 150,465.82
  5. Step 5: Solve for x
    x = 150,465.82/548.40
  6. Step 6: Final answer
    x = 274.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.