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Finding the Fourth Proportional to 202.92, 280.05 and 125.25

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Solution

The fourth proportional to 202.92, 280.05 and 125.25 is: 172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.92 : 280.05 = 125.25 : x
  2. Step 2: Convert to fraction form
    202.92/280.05 = 125.25/x
  3. Step 3: Cross multiply
    202.92x = 280.05 × 125.25
  4. Step 4: Simplify right side
    202.92x = 35,076.26
  5. Step 5: Solve for x
    x = 35,076.26/202.92
  6. Step 6: Final answer
    x = 172.86

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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.