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Finding the Fourth Proportional to 222.57, 333.81 and 125.13

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Solution

The fourth proportional to 222.57, 333.81 and 125.13 is: 187.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.57 : 333.81 = 125.13 : x
  2. Step 2: Convert to fraction form
    222.57/333.81 = 125.13/x
  3. Step 3: Cross multiply
    222.57x = 333.81 × 125.13
  4. Step 4: Simplify right side
    222.57x = 41,769.65
  5. Step 5: Solve for x
    x = 41,769.65/222.57
  6. Step 6: Final answer
    x = 187.67

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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.