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Finding the Fourth Proportional to 238.96, 329.64 and 156.14

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Solution

The fourth proportional to 238.96, 329.64 and 156.14 is: 215.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.96 : 329.64 = 156.14 : x
  2. Step 2: Convert to fraction form
    238.96/329.64 = 156.14/x
  3. Step 3: Cross multiply
    238.96x = 329.64 × 156.14
  4. Step 4: Simplify right side
    238.96x = 51,469.99
  5. Step 5: Solve for x
    x = 51,469.99/238.96
  6. Step 6: Final answer
    x = 215.39

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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.