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Finding the Fourth Proportional to 202.57, 303.80 and 80.76

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Solution

The fourth proportional to 202.57, 303.80 and 80.76 is: 121.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.57 : 303.80 = 80.76 : x
  2. Step 2: Convert to fraction form
    202.57/303.80 = 80.76/x
  3. Step 3: Cross multiply
    202.57x = 303.80 × 80.76
  4. Step 4: Simplify right side
    202.57x = 24,536.08
  5. Step 5: Solve for x
    x = 24,536.08/202.57
  6. Step 6: Final answer
    x = 121.13

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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.