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Finding the Fourth Proportional to 222.28, 306.67 and 129.01

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Solution

The fourth proportional to 222.28, 306.67 and 129.01 is: 177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.28 : 306.67 = 129.01 : x
  2. Step 2: Convert to fraction form
    222.28/306.67 = 129.01/x
  3. Step 3: Cross multiply
    222.28x = 306.67 × 129.01
  4. Step 4: Simplify right side
    222.28x = 39,563.50
  5. Step 5: Solve for x
    x = 39,563.50/222.28
  6. Step 6: Final answer
    x = 177.99

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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.