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Finding the Fourth Proportional to 238.71, 329.41 and 150.06

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Solution

The fourth proportional to 238.71, 329.41 and 150.06 is: 207.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.71 : 329.41 = 150.06 : x
  2. Step 2: Convert to fraction form
    238.71/329.41 = 150.06/x
  3. Step 3: Cross multiply
    238.71x = 329.41 × 150.06
  4. Step 4: Simplify right side
    238.71x = 49,430.89
  5. Step 5: Solve for x
    x = 49,430.89/238.71
  6. Step 6: Final answer
    x = 207.08

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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.