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Finding the Fourth Proportional to 202.97, 280.25 and 156.27

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Solution

The fourth proportional to 202.97, 280.25 and 156.27 is: 215.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.97 : 280.25 = 156.27 : x
  2. Step 2: Convert to fraction form
    202.97/280.25 = 156.27/x
  3. Step 3: Cross multiply
    202.97x = 280.25 × 156.27
  4. Step 4: Simplify right side
    202.97x = 43,794.67
  5. Step 5: Solve for x
    x = 43,794.67/202.97
  6. Step 6: Final answer
    x = 215.77

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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.