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Finding the Fourth Proportional to 312.14, 467.84 and 149.46

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Solution

The fourth proportional to 312.14, 467.84 and 149.46 is: 224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.14 : 467.84 = 149.46 : x
  2. Step 2: Convert to fraction form
    312.14/467.84 = 149.46/x
  3. Step 3: Cross multiply
    312.14x = 467.84 × 149.46
  4. Step 4: Simplify right side
    312.14x = 69,923.37
  5. Step 5: Solve for x
    x = 69,923.37/312.14
  6. Step 6: Final answer
    x = 224.01

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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.