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Finding the Fourth Proportional to 312.38, 468.57 and 95.97

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Solution

The fourth proportional to 312.38, 468.57 and 95.97 is: 143.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.38 : 468.57 = 95.97 : x
  2. Step 2: Convert to fraction form
    312.38/468.57 = 95.97/x
  3. Step 3: Cross multiply
    312.38x = 468.57 × 95.97
  4. Step 4: Simplify right side
    312.38x = 44,968.66
  5. Step 5: Solve for x
    x = 44,968.66/312.38
  6. Step 6: Final answer
    x = 143.96

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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.