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Finding the Fourth Proportional to 238.05, 328.56 and 159.37

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Solution

The fourth proportional to 238.05, 328.56 and 159.37 is: 219.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.05 : 328.56 = 159.37 : x
  2. Step 2: Convert to fraction form
    238.05/328.56 = 159.37/x
  3. Step 3: Cross multiply
    238.05x = 328.56 × 159.37
  4. Step 4: Simplify right side
    238.05x = 52,362.61
  5. Step 5: Solve for x
    x = 52,362.61/238.05
  6. Step 6: Final answer
    x = 219.96

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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.