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Finding the Fourth Proportional to 202.25, 278.99 and 132.33

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Solution

The fourth proportional to 202.25, 278.99 and 132.33 is: 182.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.25 : 278.99 = 132.33 : x
  2. Step 2: Convert to fraction form
    202.25/278.99 = 132.33/x
  3. Step 3: Cross multiply
    202.25x = 278.99 × 132.33
  4. Step 4: Simplify right side
    202.25x = 36,920.37
  5. Step 5: Solve for x
    x = 36,920.37/202.25
  6. Step 6: Final answer
    x = 182.55

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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.