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Finding the Fourth Proportional to 238.78, 328.84 and 192.34

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Solution

The fourth proportional to 238.78, 328.84 and 192.34 is: 264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.78 : 328.84 = 192.34 : x
  2. Step 2: Convert to fraction form
    238.78/328.84 = 192.34/x
  3. Step 3: Cross multiply
    238.78x = 328.84 × 192.34
  4. Step 4: Simplify right side
    238.78x = 63,249.09
  5. Step 5: Solve for x
    x = 63,249.09/238.78
  6. Step 6: Final answer
    x = 264.88

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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.