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Finding the Fourth Proportional to 222.77, 334.05 and 120.03

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Solution

The fourth proportional to 222.77, 334.05 and 120.03 is: 179.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.77 : 334.05 = 120.03 : x
  2. Step 2: Convert to fraction form
    222.77/334.05 = 120.03/x
  3. Step 3: Cross multiply
    222.77x = 334.05 × 120.03
  4. Step 4: Simplify right side
    222.77x = 40,096.02
  5. Step 5: Solve for x
    x = 40,096.02/222.77
  6. Step 6: Final answer
    x = 179.99

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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.