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Finding the Fourth Proportional to 183.02, 271.10 and 180.97

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Solution

The fourth proportional to 183.02, 271.10 and 180.97 is: 268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.02 : 271.10 = 180.97 : x
  2. Step 2: Convert to fraction form
    183.02/271.10 = 180.97/x
  3. Step 3: Cross multiply
    183.02x = 271.10 × 180.97
  4. Step 4: Simplify right side
    183.02x = 49,059.72
  5. Step 5: Solve for x
    x = 49,059.72/183.02
  6. Step 6: Final answer
    x = 268.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.