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Finding the Fourth Proportional to 329.65, 494.27 and 156.22

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Solution

The fourth proportional to 329.65, 494.27 and 156.22 is: 234.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.65 : 494.27 = 156.22 : x
  2. Step 2: Convert to fraction form
    329.65/494.27 = 156.22/x
  3. Step 3: Cross multiply
    329.65x = 494.27 × 156.22
  4. Step 4: Simplify right side
    329.65x = 77,214.86
  5. Step 5: Solve for x
    x = 77,214.86/329.65
  6. Step 6: Final answer
    x = 234.23

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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.