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Finding the Fourth Proportional to 203.78, 280.94 and 176.44

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Solution

The fourth proportional to 203.78, 280.94 and 176.44 is: 243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.78 : 280.94 = 176.44 : x
  2. Step 2: Convert to fraction form
    203.78/280.94 = 176.44/x
  3. Step 3: Cross multiply
    203.78x = 280.94 × 176.44
  4. Step 4: Simplify right side
    203.78x = 49,569.05
  5. Step 5: Solve for x
    x = 49,569.05/203.78
  6. Step 6: Final answer
    x = 243.25

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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.