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Finding the Fourth Proportional to 329.04, 493.44 and 155.82

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Solution

The fourth proportional to 329.04, 493.44 and 155.82 is: 233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.04 : 493.44 = 155.82 : x
  2. Step 2: Convert to fraction form
    329.04/493.44 = 155.82/x
  3. Step 3: Cross multiply
    329.04x = 493.44 × 155.82
  4. Step 4: Simplify right side
    329.04x = 76,889.96
  5. Step 5: Solve for x
    x = 76,889.96/329.04
  6. Step 6: Final answer
    x = 233.68

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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.