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Finding the Fourth Proportional to 238.77, 329.54 and 168.98

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Solution

The fourth proportional to 238.77, 329.54 and 168.98 is: 233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.77 : 329.54 = 168.98 : x
  2. Step 2: Convert to fraction form
    238.77/329.54 = 168.98/x
  3. Step 3: Cross multiply
    238.77x = 329.54 × 168.98
  4. Step 4: Simplify right side
    238.77x = 55,683.18
  5. Step 5: Solve for x
    x = 55,683.18/238.77
  6. Step 6: Final answer
    x = 233.21

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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.