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Finding the Fourth Proportional to 363.20, 544.56 and 146.56

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Solution

The fourth proportional to 363.20, 544.56 and 146.56 is: 219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.20 : 544.56 = 146.56 : x
  2. Step 2: Convert to fraction form
    363.20/544.56 = 146.56/x
  3. Step 3: Cross multiply
    363.20x = 544.56 × 146.56
  4. Step 4: Simplify right side
    363.20x = 79,810.71
  5. Step 5: Solve for x
    x = 79,810.71/363.20
  6. Step 6: Final answer
    x = 219.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.