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Finding the Fourth Proportional to 238.71, 358.05 and 208.29

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Solution

The fourth proportional to 238.71, 358.05 and 208.29 is: 312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.71 : 358.05 = 208.29 : x
  2. Step 2: Convert to fraction form
    238.71/358.05 = 208.29/x
  3. Step 3: Cross multiply
    238.71x = 358.05 × 208.29
  4. Step 4: Simplify right side
    238.71x = 74,578.34
  5. Step 5: Solve for x
    x = 74,578.34/238.71
  6. Step 6: Final answer
    x = 312.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.