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Finding the Fourth Proportional to 182.98, 274.03 and 180.15

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Solution

The fourth proportional to 182.98, 274.03 and 180.15 is: 269.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.98 : 274.03 = 180.15 : x
  2. Step 2: Convert to fraction form
    182.98/274.03 = 180.15/x
  3. Step 3: Cross multiply
    182.98x = 274.03 × 180.15
  4. Step 4: Simplify right side
    182.98x = 49,366.50
  5. Step 5: Solve for x
    x = 49,366.50/182.98
  6. Step 6: Final answer
    x = 269.79

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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.