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Finding the Fourth Proportional to 363.40, 544.89 and 119.86

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Solution

The fourth proportional to 363.40, 544.89 and 119.86 is: 179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.40 : 544.89 = 119.86 : x
  2. Step 2: Convert to fraction form
    363.40/544.89 = 119.86/x
  3. Step 3: Cross multiply
    363.40x = 544.89 × 119.86
  4. Step 4: Simplify right side
    363.40x = 65,307.79
  5. Step 5: Solve for x
    x = 65,307.79/363.40
  6. Step 6: Final answer
    x = 179.72

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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.