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Finding the Fourth Proportional to 238.57, 329.21 and 135.07

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Solution

The fourth proportional to 238.57, 329.21 and 135.07 is: 186.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.57 : 329.21 = 135.07 : x
  2. Step 2: Convert to fraction form
    238.57/329.21 = 135.07/x
  3. Step 3: Cross multiply
    238.57x = 329.21 × 135.07
  4. Step 4: Simplify right side
    238.57x = 44,466.39
  5. Step 5: Solve for x
    x = 44,466.39/238.57
  6. Step 6: Final answer
    x = 186.39

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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.