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Finding the Fourth Proportional to 238.65, 329.20 and 150.09

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Solution

The fourth proportional to 238.65, 329.20 and 150.09 is: 207.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.65 : 329.20 = 150.09 : x
  2. Step 2: Convert to fraction form
    238.65/329.20 = 150.09/x
  3. Step 3: Cross multiply
    238.65x = 329.20 × 150.09
  4. Step 4: Simplify right side
    238.65x = 49,409.63
  5. Step 5: Solve for x
    x = 49,409.63/238.65
  6. Step 6: Final answer
    x = 207.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.