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Finding the Fourth Proportional to 202.82, 304.10 and 80.94

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Solution

The fourth proportional to 202.82, 304.10 and 80.94 is: 121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.82 : 304.10 = 80.94 : x
  2. Step 2: Convert to fraction form
    202.82/304.10 = 80.94/x
  3. Step 3: Cross multiply
    202.82x = 304.10 × 80.94
  4. Step 4: Simplify right side
    202.82x = 24,613.45
  5. Step 5: Solve for x
    x = 24,613.45/202.82
  6. Step 6: Final answer
    x = 121.36

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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.