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Finding the Fourth Proportional to 238.57, 328.85 and 164.75

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Solution

The fourth proportional to 238.57, 328.85 and 164.75 is: 227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.57 : 328.85 = 164.75 : x
  2. Step 2: Convert to fraction form
    238.57/328.85 = 164.75/x
  3. Step 3: Cross multiply
    238.57x = 328.85 × 164.75
  4. Step 4: Simplify right side
    238.57x = 54,179.27
  5. Step 5: Solve for x
    x = 54,179.27/238.57
  6. Step 6: Final answer
    x = 227.10

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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.