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Finding the Fourth Proportional to 312.14, 467.96 and 165.89

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Solution

The fourth proportional to 312.14, 467.96 and 165.89 is: 248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.14 : 467.96 = 165.89 : x
  2. Step 2: Convert to fraction form
    312.14/467.96 = 165.89/x
  3. Step 3: Cross multiply
    312.14x = 467.96 × 165.89
  4. Step 4: Simplify right side
    312.14x = 77,629.88
  5. Step 5: Solve for x
    x = 77,629.88/312.14
  6. Step 6: Final answer
    x = 248.70

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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.