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Finding the Fourth Proportional to 201.58, 300.62 and 182.14

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Solution

The fourth proportional to 201.58, 300.62 and 182.14 is: 271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.58 : 300.62 = 182.14 : x
  2. Step 2: Convert to fraction form
    201.58/300.62 = 182.14/x
  3. Step 3: Cross multiply
    201.58x = 300.62 × 182.14
  4. Step 4: Simplify right side
    201.58x = 54,754.93
  5. Step 5: Solve for x
    x = 54,754.93/201.58
  6. Step 6: Final answer
    x = 271.63

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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.