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Finding the Fourth Proportional to 363.04, 544.09 and 165.23

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Solution

The fourth proportional to 363.04, 544.09 and 165.23 is: 247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.04 : 544.09 = 165.23 : x
  2. Step 2: Convert to fraction form
    363.04/544.09 = 165.23/x
  3. Step 3: Cross multiply
    363.04x = 544.09 × 165.23
  4. Step 4: Simplify right side
    363.04x = 89,900.94
  5. Step 5: Solve for x
    x = 89,900.94/363.04
  6. Step 6: Final answer
    x = 247.64

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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.