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Finding the Fourth Proportional to 329.91, 494.64 and 156.47

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Solution

The fourth proportional to 329.91, 494.64 and 156.47 is: 234.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.91 : 494.64 = 156.47 : x
  2. Step 2: Convert to fraction form
    329.91/494.64 = 156.47/x
  3. Step 3: Cross multiply
    329.91x = 494.64 × 156.47
  4. Step 4: Simplify right side
    329.91x = 77,393.85
  5. Step 5: Solve for x
    x = 77,393.85/329.91
  6. Step 6: Final answer
    x = 234.59

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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.