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Finding the Fourth Proportional to 312.17, 468.41 and 149.81

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Solution

The fourth proportional to 312.17, 468.41 and 149.81 is: 224.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.17 : 468.41 = 149.81 : x
  2. Step 2: Convert to fraction form
    312.17/468.41 = 149.81/x
  3. Step 3: Cross multiply
    312.17x = 468.41 × 149.81
  4. Step 4: Simplify right side
    312.17x = 70,169.41
  5. Step 5: Solve for x
    x = 70,169.41/312.17
  6. Step 6: Final answer
    x = 224.78

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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.