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Finding the Fourth Proportional to 182.98, 274.49 and 149.03

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Solution

The fourth proportional to 182.98, 274.49 and 149.03 is: 223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.98 : 274.49 = 149.03 : x
  2. Step 2: Convert to fraction form
    182.98/274.49 = 149.03/x
  3. Step 3: Cross multiply
    182.98x = 274.49 × 149.03
  4. Step 4: Simplify right side
    182.98x = 40,907.24
  5. Step 5: Solve for x
    x = 40,907.24/182.98
  6. Step 6: Final answer
    x = 223.56

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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.