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Finding the Fourth Proportional to 329.82, 494.37 and 156.24

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Solution

The fourth proportional to 329.82, 494.37 and 156.24 is: 234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.82 : 494.37 = 156.24 : x
  2. Step 2: Convert to fraction form
    329.82/494.37 = 156.24/x
  3. Step 3: Cross multiply
    329.82x = 494.37 × 156.24
  4. Step 4: Simplify right side
    329.82x = 77,240.37
  5. Step 5: Solve for x
    x = 77,240.37/329.82
  6. Step 6: Final answer
    x = 234.19

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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.