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Finding the Fourth Proportional to 321.94, 444.29 and 189.16

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Solution

The fourth proportional to 321.94, 444.29 and 189.16 is: 261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.94 : 444.29 = 189.16 : x
  2. Step 2: Convert to fraction form
    321.94/444.29 = 189.16/x
  3. Step 3: Cross multiply
    321.94x = 444.29 × 189.16
  4. Step 4: Simplify right side
    321.94x = 84,044.04
  5. Step 5: Solve for x
    x = 84,044.04/321.94
  6. Step 6: Final answer
    x = 261.05

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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.