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Finding the Fourth Proportional to 329.14, 493.77 and 146.54

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Solution

The fourth proportional to 329.14, 493.77 and 146.54 is: 219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.14 : 493.77 = 146.54 : x
  2. Step 2: Convert to fraction form
    329.14/493.77 = 146.54/x
  3. Step 3: Cross multiply
    329.14x = 493.77 × 146.54
  4. Step 4: Simplify right side
    329.14x = 72,357.06
  5. Step 5: Solve for x
    x = 72,357.06/329.14
  6. Step 6: Final answer
    x = 219.84

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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.