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Finding the Fourth Proportional to 213.26, 295.83 and 202.32

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Solution

The fourth proportional to 213.26, 295.83 and 202.32 is: 280.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.26 : 295.83 = 202.32 : x
  2. Step 2: Convert to fraction form
    213.26/295.83 = 202.32/x
  3. Step 3: Cross multiply
    213.26x = 295.83 × 202.32
  4. Step 4: Simplify right side
    213.26x = 59,852.33
  5. Step 5: Solve for x
    x = 59,852.33/213.26
  6. Step 6: Final answer
    x = 280.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.