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Finding the Fourth Proportional to 312.03, 468.09 and 149.68

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Solution

The fourth proportional to 312.03, 468.09 and 149.68 is: 224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.03 : 468.09 = 149.68 : x
  2. Step 2: Convert to fraction form
    312.03/468.09 = 149.68/x
  3. Step 3: Cross multiply
    312.03x = 468.09 × 149.68
  4. Step 4: Simplify right side
    312.03x = 70,063.71
  5. Step 5: Solve for x
    x = 70,063.71/312.03
  6. Step 6: Final answer
    x = 224.54

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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.