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Finding the Fourth Proportional to 202.96, 280.12 and 120.07

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Solution

The fourth proportional to 202.96, 280.12 and 120.07 is: 165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.96 : 280.12 = 120.07 : x
  2. Step 2: Convert to fraction form
    202.96/280.12 = 120.07/x
  3. Step 3: Cross multiply
    202.96x = 280.12 × 120.07
  4. Step 4: Simplify right side
    202.96x = 33,632.52
  5. Step 5: Solve for x
    x = 33,632.52/202.96
  6. Step 6: Final answer
    x = 165.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.