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Finding the Fourth Proportional to 321.32, 442.97 and 203.23

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Solution

The fourth proportional to 321.32, 442.97 and 203.23 is: 280.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.32 : 442.97 = 203.23 : x
  2. Step 2: Convert to fraction form
    321.32/442.97 = 203.23/x
  3. Step 3: Cross multiply
    321.32x = 442.97 × 203.23
  4. Step 4: Simplify right side
    321.32x = 90,026.24
  5. Step 5: Solve for x
    x = 90,026.24/321.32
  6. Step 6: Final answer
    x = 280.18

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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.