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Finding the Fourth Proportional to 800.01, 1,200.06 and 222.89

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Solution

The fourth proportional to 800.01, 1,200.06 and 222.89 is: 334.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.01 : 1,200.06 = 222.89 : x
  2. Step 2: Convert to fraction form
    800.01/1,200.06 = 222.89/x
  3. Step 3: Cross multiply
    800.01x = 1,200.06 × 222.89
  4. Step 4: Simplify right side
    800.01x = 267,475.37
  5. Step 5: Solve for x
    x = 267,475.37/800.01
  6. Step 6: Final answer
    x = 334.34

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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.