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Finding the Fourth Proportional to 202.97, 280.53 and 154.23

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Solution

The fourth proportional to 202.97, 280.53 and 154.23 is: 213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.97 : 280.53 = 154.23 : x
  2. Step 2: Convert to fraction form
    202.97/280.53 = 154.23/x
  3. Step 3: Cross multiply
    202.97x = 280.53 × 154.23
  4. Step 4: Simplify right side
    202.97x = 43,266.14
  5. Step 5: Solve for x
    x = 43,266.14/202.97
  6. Step 6: Final answer
    x = 213.17

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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.