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Finding the Fourth Proportional to 328.91, 493.46 and 109.54

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Solution

The fourth proportional to 328.91, 493.46 and 109.54 is: 164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.91 : 493.46 = 109.54 : x
  2. Step 2: Convert to fraction form
    328.91/493.46 = 109.54/x
  3. Step 3: Cross multiply
    328.91x = 493.46 × 109.54
  4. Step 4: Simplify right side
    328.91x = 54,053.61
  5. Step 5: Solve for x
    x = 54,053.61/328.91
  6. Step 6: Final answer
    x = 164.34

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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.