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Finding the Fourth Proportional to 222.56, 333.20 and 157.14

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Solution

The fourth proportional to 222.56, 333.20 and 157.14 is: 235.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.56 : 333.20 = 157.14 : x
  2. Step 2: Convert to fraction form
    222.56/333.20 = 157.14/x
  3. Step 3: Cross multiply
    222.56x = 333.20 × 157.14
  4. Step 4: Simplify right side
    222.56x = 52,359.05
  5. Step 5: Solve for x
    x = 52,359.05/222.56
  6. Step 6: Final answer
    x = 235.26

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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.