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Finding the Fourth Proportional to 202.08, 301.37 and 182.64

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Solution

The fourth proportional to 202.08, 301.37 and 182.64 is: 272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.08 : 301.37 = 182.64 : x
  2. Step 2: Convert to fraction form
    202.08/301.37 = 182.64/x
  3. Step 3: Cross multiply
    202.08x = 301.37 × 182.64
  4. Step 4: Simplify right side
    202.08x = 55,042.22
  5. Step 5: Solve for x
    x = 55,042.22/202.08
  6. Step 6: Final answer
    x = 272.38

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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.