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Finding the Fourth Proportional to 242.34, 334.29 and 163.67

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Solution

The fourth proportional to 242.34, 334.29 and 163.67 is: 225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.34 : 334.29 = 163.67 : x
  2. Step 2: Convert to fraction form
    242.34/334.29 = 163.67/x
  3. Step 3: Cross multiply
    242.34x = 334.29 × 163.67
  4. Step 4: Simplify right side
    242.34x = 54,711.57
  5. Step 5: Solve for x
    x = 54,711.57/242.34
  6. Step 6: Final answer
    x = 225.76

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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.