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Finding the Fourth Proportional to 230.90, 319.20 and 203.54

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Solution

The fourth proportional to 230.90, 319.20 and 203.54 is: 281.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.90 : 319.20 = 203.54 : x
  2. Step 2: Convert to fraction form
    230.90/319.20 = 203.54/x
  3. Step 3: Cross multiply
    230.90x = 319.20 × 203.54
  4. Step 4: Simplify right side
    230.90x = 64,969.97
  5. Step 5: Solve for x
    x = 64,969.97/230.90
  6. Step 6: Final answer
    x = 281.38

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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.