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Finding the Fourth Proportional to 182.62, 271.74 and 182.01

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Solution

The fourth proportional to 182.62, 271.74 and 182.01 is: 270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.62 : 271.74 = 182.01 : x
  2. Step 2: Convert to fraction form
    182.62/271.74 = 182.01/x
  3. Step 3: Cross multiply
    182.62x = 271.74 × 182.01
  4. Step 4: Simplify right side
    182.62x = 49,460.08
  5. Step 5: Solve for x
    x = 49,460.08/182.62
  6. Step 6: Final answer
    x = 270.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.