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Finding the Fourth Proportional to 202.10, 302.96 and 80.28

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Solution

The fourth proportional to 202.10, 302.96 and 80.28 is: 120.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.10 : 302.96 = 80.28 : x
  2. Step 2: Convert to fraction form
    202.10/302.96 = 80.28/x
  3. Step 3: Cross multiply
    202.10x = 302.96 × 80.28
  4. Step 4: Simplify right side
    202.10x = 24,321.83
  5. Step 5: Solve for x
    x = 24,321.83/202.10
  6. Step 6: Final answer
    x = 120.35

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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.