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Finding the Fourth Proportional to 363.09, 544.31 and 146.82

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Solution

The fourth proportional to 363.09, 544.31 and 146.82 is: 220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.09 : 544.31 = 146.82 : x
  2. Step 2: Convert to fraction form
    363.09/544.31 = 146.82/x
  3. Step 3: Cross multiply
    363.09x = 544.31 × 146.82
  4. Step 4: Simplify right side
    363.09x = 79,915.59
  5. Step 5: Solve for x
    x = 79,915.59/363.09
  6. Step 6: Final answer
    x = 220.10

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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.