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Finding the Fourth Proportional to 362.75, 543.81 and 208.90

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Solution

The fourth proportional to 362.75, 543.81 and 208.90 is: 313.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.75 : 543.81 = 208.90 : x
  2. Step 2: Convert to fraction form
    362.75/543.81 = 208.90/x
  3. Step 3: Cross multiply
    362.75x = 543.81 × 208.90
  4. Step 4: Simplify right side
    362.75x = 113,601.91
  5. Step 5: Solve for x
    x = 113,601.91/362.75
  6. Step 6: Final answer
    x = 313.17

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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.