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Finding the Fourth Proportional to 218.97, 300.53 and 202.53

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Solution

The fourth proportional to 218.97, 300.53 and 202.53 is: 277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.97 : 300.53 = 202.53 : x
  2. Step 2: Convert to fraction form
    218.97/300.53 = 202.53/x
  3. Step 3: Cross multiply
    218.97x = 300.53 × 202.53
  4. Step 4: Simplify right side
    218.97x = 60,865.33
  5. Step 5: Solve for x
    x = 60,865.33/218.97
  6. Step 6: Final answer
    x = 277.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.