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Finding the Fourth Proportional to 328.82, 493.53 and 166.62

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Solution

The fourth proportional to 328.82, 493.53 and 166.62 is: 250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.82 : 493.53 = 166.62 : x
  2. Step 2: Convert to fraction form
    328.82/493.53 = 166.62/x
  3. Step 3: Cross multiply
    328.82x = 493.53 × 166.62
  4. Step 4: Simplify right side
    328.82x = 82,231.97
  5. Step 5: Solve for x
    x = 82,231.97/328.82
  6. Step 6: Final answer
    x = 250.08

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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.