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Finding the Fourth Proportional to 311.37, 467.16 and 146.97

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Solution

The fourth proportional to 311.37, 467.16 and 146.97 is: 220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.37 : 467.16 = 146.97 : x
  2. Step 2: Convert to fraction form
    311.37/467.16 = 146.97/x
  3. Step 3: Cross multiply
    311.37x = 467.16 × 146.97
  4. Step 4: Simplify right side
    311.37x = 68,658.51
  5. Step 5: Solve for x
    x = 68,658.51/311.37
  6. Step 6: Final answer
    x = 220.50

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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.