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Finding the Fourth Proportional to 311.33, 467.24 and 174.35

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Solution

The fourth proportional to 311.33, 467.24 and 174.35 is: 261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.33 : 467.24 = 174.35 : x
  2. Step 2: Convert to fraction form
    311.33/467.24 = 174.35/x
  3. Step 3: Cross multiply
    311.33x = 467.24 × 174.35
  4. Step 4: Simplify right side
    311.33x = 81,460.09
  5. Step 5: Solve for x
    x = 81,460.09/311.33
  6. Step 6: Final answer
    x = 261.66

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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.