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Finding the Fourth Proportional to 312.27, 468.38 and 147.71

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Solution

The fourth proportional to 312.27, 468.38 and 147.71 is: 221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.27 : 468.38 = 147.71 : x
  2. Step 2: Convert to fraction form
    312.27/468.38 = 147.71/x
  3. Step 3: Cross multiply
    312.27x = 468.38 × 147.71
  4. Step 4: Simplify right side
    312.27x = 69,181.33
  5. Step 5: Solve for x
    x = 69,181.33/312.27
  6. Step 6: Final answer
    x = 221.54

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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.