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Finding the Fourth Proportional to 312.96, 431.94 and 239.14

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Solution

The fourth proportional to 312.96, 431.94 and 239.14 is: 330.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.96 : 431.94 = 239.14 : x
  2. Step 2: Convert to fraction form
    312.96/431.94 = 239.14/x
  3. Step 3: Cross multiply
    312.96x = 431.94 × 239.14
  4. Step 4: Simplify right side
    312.96x = 103,294.13
  5. Step 5: Solve for x
    x = 103,294.13/312.96
  6. Step 6: Final answer
    x = 330.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.