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Finding the Fourth Proportional to 238.68, 356.31 and 214.38

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Solution

The fourth proportional to 238.68, 356.31 and 214.38 is: 320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.68 : 356.31 = 214.38 : x
  2. Step 2: Convert to fraction form
    238.68/356.31 = 214.38/x
  3. Step 3: Cross multiply
    238.68x = 356.31 × 214.38
  4. Step 4: Simplify right side
    238.68x = 76,385.74
  5. Step 5: Solve for x
    x = 76,385.74/238.68
  6. Step 6: Final answer
    x = 320.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.