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Finding the Fourth Proportional to 362.66, 500.33 and 222.68

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Solution

The fourth proportional to 362.66, 500.33 and 222.68 is: 307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.66 : 500.33 = 222.68 : x
  2. Step 2: Convert to fraction form
    362.66/500.33 = 222.68/x
  3. Step 3: Cross multiply
    362.66x = 500.33 × 222.68
  4. Step 4: Simplify right side
    362.66x = 111,415.29
  5. Step 5: Solve for x
    x = 111,415.29/362.66
  6. Step 6: Final answer
    x = 307.22

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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.