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Finding the Fourth Proportional to 202.77, 280.26 and 159.03

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Solution

The fourth proportional to 202.77, 280.26 and 159.03 is: 219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.77 : 280.26 = 159.03 : x
  2. Step 2: Convert to fraction form
    202.77/280.26 = 159.03/x
  3. Step 3: Cross multiply
    202.77x = 280.26 × 159.03
  4. Step 4: Simplify right side
    202.77x = 44,569.75
  5. Step 5: Solve for x
    x = 44,569.75/202.77
  6. Step 6: Final answer
    x = 219.80

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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.