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Finding the Fourth Proportional to 238.98, 329.87 and 155.07

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Solution

The fourth proportional to 238.98, 329.87 and 155.07 is: 214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.98 : 329.87 = 155.07 : x
  2. Step 2: Convert to fraction form
    238.98/329.87 = 155.07/x
  3. Step 3: Cross multiply
    238.98x = 329.87 × 155.07
  4. Step 4: Simplify right side
    238.98x = 51,153.33
  5. Step 5: Solve for x
    x = 51,153.33/238.98
  6. Step 6: Final answer
    x = 214.05

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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.