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Finding the Fourth Proportional to 362.53, 500.22 and 215.14

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Solution

The fourth proportional to 362.53, 500.22 and 215.14 is: 296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.53 : 500.22 = 215.14 : x
  2. Step 2: Convert to fraction form
    362.53/500.22 = 215.14/x
  3. Step 3: Cross multiply
    362.53x = 500.22 × 215.14
  4. Step 4: Simplify right side
    362.53x = 107,617.33
  5. Step 5: Solve for x
    x = 107,617.33/362.53
  6. Step 6: Final answer
    x = 296.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.