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Finding the Fourth Proportional to 232.31, 346.33 and 214.04

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Solution

The fourth proportional to 232.31, 346.33 and 214.04 is: 319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.31 : 346.33 = 214.04 : x
  2. Step 2: Convert to fraction form
    232.31/346.33 = 214.04/x
  3. Step 3: Cross multiply
    232.31x = 346.33 × 214.04
  4. Step 4: Simplify right side
    232.31x = 74,128.47
  5. Step 5: Solve for x
    x = 74,128.47/232.31
  6. Step 6: Final answer
    x = 319.09

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Why These Related Problems?

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