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Finding the Fourth Proportional to 202.83, 280.29 and 153.62

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Solution

The fourth proportional to 202.83, 280.29 and 153.62 is: 212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.83 : 280.29 = 153.62 : x
  2. Step 2: Convert to fraction form
    202.83/280.29 = 153.62/x
  3. Step 3: Cross multiply
    202.83x = 280.29 × 153.62
  4. Step 4: Simplify right side
    202.83x = 43,058.15
  5. Step 5: Solve for x
    x = 43,058.15/202.83
  6. Step 6: Final answer
    x = 212.29

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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.