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Finding the Fourth Proportional to 363.30, 544.59 and 180.83

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Solution

The fourth proportional to 363.30, 544.59 and 180.83 is: 271.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.30 : 544.59 = 180.83 : x
  2. Step 2: Convert to fraction form
    363.30/544.59 = 180.83/x
  3. Step 3: Cross multiply
    363.30x = 544.59 × 180.83
  4. Step 4: Simplify right side
    363.30x = 98,475.49
  5. Step 5: Solve for x
    x = 98,475.49/363.30
  6. Step 6: Final answer
    x = 271.06

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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.