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Finding the Fourth Proportional to 239.16, 330.09 and 192.84

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Solution

The fourth proportional to 239.16, 330.09 and 192.84 is: 266.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.16 : 330.09 = 192.84 : x
  2. Step 2: Convert to fraction form
    239.16/330.09 = 192.84/x
  3. Step 3: Cross multiply
    239.16x = 330.09 × 192.84
  4. Step 4: Simplify right side
    239.16x = 63,654.56
  5. Step 5: Solve for x
    x = 63,654.56/239.16
  6. Step 6: Final answer
    x = 266.16

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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.