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Finding the Fourth Proportional to 363.13, 544.93 and 135.13

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Solution

The fourth proportional to 363.13, 544.93 and 135.13 is: 202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.13 : 544.93 = 135.13 : x
  2. Step 2: Convert to fraction form
    363.13/544.93 = 135.13/x
  3. Step 3: Cross multiply
    363.13x = 544.93 × 135.13
  4. Step 4: Simplify right side
    363.13x = 73,633.67
  5. Step 5: Solve for x
    x = 73,633.67/363.13
  6. Step 6: Final answer
    x = 202.78

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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.