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Finding the Fourth Proportional to 312.38, 468 and 196.58

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Solution

The fourth proportional to 312.38, 468 and 196.58 is: 294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.38 : 468 = 196.58 : x
  2. Step 2: Convert to fraction form
    312.38/468 = 196.58/x
  3. Step 3: Cross multiply
    312.38x = 468 × 196.58
  4. Step 4: Simplify right side
    312.38x = 91,999.44
  5. Step 5: Solve for x
    x = 91,999.44/312.38
  6. Step 6: Final answer
    x = 294.51

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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.