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Finding the Fourth Proportional to 294.21, 406.20 and 189.35

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Solution

The fourth proportional to 294.21, 406.20 and 189.35 is: 261.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.21 : 406.20 = 189.35 : x
  2. Step 2: Convert to fraction form
    294.21/406.20 = 189.35/x
  3. Step 3: Cross multiply
    294.21x = 406.20 × 189.35
  4. Step 4: Simplify right side
    294.21x = 76,913.97
  5. Step 5: Solve for x
    x = 76,913.97/294.21
  6. Step 6: Final answer
    x = 261.43

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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.