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Finding the Fourth Proportional to 872.15, 1,308.21 and 222.87

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Solution

The fourth proportional to 872.15, 1,308.21 and 222.87 is: 334.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.15 : 1,308.21 = 222.87 : x
  2. Step 2: Convert to fraction form
    872.15/1,308.21 = 222.87/x
  3. Step 3: Cross multiply
    872.15x = 1,308.21 × 222.87
  4. Step 4: Simplify right side
    872.15x = 291,560.76
  5. Step 5: Solve for x
    x = 291,560.76/872.15
  6. Step 6: Final answer
    x = 334.30

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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.