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Finding the Fourth Proportional to 363.23, 544.91 and 146.69

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Solution

The fourth proportional to 363.23, 544.91 and 146.69 is: 220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.23 : 544.91 = 146.69 : x
  2. Step 2: Convert to fraction form
    363.23/544.91 = 146.69/x
  3. Step 3: Cross multiply
    363.23x = 544.91 × 146.69
  4. Step 4: Simplify right side
    363.23x = 79,929.39
  5. Step 5: Solve for x
    x = 79,929.39/363.23
  6. Step 6: Final answer
    x = 220.05

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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.