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Finding the Fourth Proportional to 202.89, 280.04 and 115.59

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Solution

The fourth proportional to 202.89, 280.04 and 115.59 is: 159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.89 : 280.04 = 115.59 : x
  2. Step 2: Convert to fraction form
    202.89/280.04 = 115.59/x
  3. Step 3: Cross multiply
    202.89x = 280.04 × 115.59
  4. Step 4: Simplify right side
    202.89x = 32,369.25
  5. Step 5: Solve for x
    x = 32,369.25/202.89
  6. Step 6: Final answer
    x = 159.54

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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.