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Finding the Fourth Proportional to 329, 493.50 and 101

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Solution

The fourth proportional to 329, 493.50 and 101 is: 151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    329 : 493.50 = 101 : x
  2. Step 2: Convert to fraction form
    329/493.50 = 101/x
  3. Step 3: Cross multiply
    329x = 493.50 × 101
  4. Step 4: Simplify right side
    329x = 49,843.50
  5. Step 5: Solve for x
    x = 49,843.50/329
  6. Step 6: Final answer
    x = 151.50

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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.