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Finding the Fourth Proportional to 203.44, 280.76 and 154.23

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Solution

The fourth proportional to 203.44, 280.76 and 154.23 is: 212.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.44 : 280.76 = 154.23 : x
  2. Step 2: Convert to fraction form
    203.44/280.76 = 154.23/x
  3. Step 3: Cross multiply
    203.44x = 280.76 × 154.23
  4. Step 4: Simplify right side
    203.44x = 43,302.24
  5. Step 5: Solve for x
    x = 43,302.24/203.44
  6. Step 6: Final answer
    x = 212.85

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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.