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Finding the Fourth Proportional to 238.59, 356.79 and 214.29

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Solution

The fourth proportional to 238.59, 356.79 and 214.29 is: 320.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.59 : 356.79 = 214.29 : x
  2. Step 2: Convert to fraction form
    238.59/356.79 = 214.29/x
  3. Step 3: Cross multiply
    238.59x = 356.79 × 214.29
  4. Step 4: Simplify right side
    238.59x = 76,456.53
  5. Step 5: Solve for x
    x = 76,456.53/238.59
  6. Step 6: Final answer
    x = 320.45

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Why These Related Problems?

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