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Finding the Fourth Proportional to 238.52, 329.15 and 150.05

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Solution

The fourth proportional to 238.52, 329.15 and 150.05 is: 207.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.52 : 329.15 = 150.05 : x
  2. Step 2: Convert to fraction form
    238.52/329.15 = 150.05/x
  3. Step 3: Cross multiply
    238.52x = 329.15 × 150.05
  4. Step 4: Simplify right side
    238.52x = 49,387.69
  5. Step 5: Solve for x
    x = 49,387.69/238.52
  6. Step 6: Final answer
    x = 207.06

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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.