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Finding the Fourth Proportional to 297.21, 409.78 and 192.12

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Solution

The fourth proportional to 297.21, 409.78 and 192.12 is: 264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.21 : 409.78 = 192.12 : x
  2. Step 2: Convert to fraction form
    297.21/409.78 = 192.12/x
  3. Step 3: Cross multiply
    297.21x = 409.78 × 192.12
  4. Step 4: Simplify right side
    297.21x = 78,726.93
  5. Step 5: Solve for x
    x = 78,726.93/297.21
  6. Step 6: Final answer
    x = 264.89

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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.