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Finding the Fourth Proportional to 242.43, 364.09 and 126.96

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Solution

The fourth proportional to 242.43, 364.09 and 126.96 is: 190.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.43 : 364.09 = 126.96 : x
  2. Step 2: Convert to fraction form
    242.43/364.09 = 126.96/x
  3. Step 3: Cross multiply
    242.43x = 364.09 × 126.96
  4. Step 4: Simplify right side
    242.43x = 46,223.05
  5. Step 5: Solve for x
    x = 46,223.05/242.43
  6. Step 6: Final answer
    x = 190.67

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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.