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Finding the Fourth Proportional to 363.30, 544.49 and 170.50

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Solution

The fourth proportional to 363.30, 544.49 and 170.50 is: 255.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.30 : 544.49 = 170.50 : x
  2. Step 2: Convert to fraction form
    363.30/544.49 = 170.50/x
  3. Step 3: Cross multiply
    363.30x = 544.49 × 170.50
  4. Step 4: Simplify right side
    363.30x = 92,835.55
  5. Step 5: Solve for x
    x = 92,835.55/363.30
  6. Step 6: Final answer
    x = 255.53

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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.