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Finding the Fourth Proportional to 238.62, 329.18 and 145.34

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Solution

The fourth proportional to 238.62, 329.18 and 145.34 is: 200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.62 : 329.18 = 145.34 : x
  2. Step 2: Convert to fraction form
    238.62/329.18 = 145.34/x
  3. Step 3: Cross multiply
    238.62x = 329.18 × 145.34
  4. Step 4: Simplify right side
    238.62x = 47,843.02
  5. Step 5: Solve for x
    x = 47,843.02/238.62
  6. Step 6: Final answer
    x = 200.50

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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.