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Finding the Fourth Proportional to 163.42, 224.96 and 142.40

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Solution

The fourth proportional to 163.42, 224.96 and 142.40 is: 196.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.42 : 224.96 = 142.40 : x
  2. Step 2: Convert to fraction form
    163.42/224.96 = 142.40/x
  3. Step 3: Cross multiply
    163.42x = 224.96 × 142.40
  4. Step 4: Simplify right side
    163.42x = 32,034.30
  5. Step 5: Solve for x
    x = 32,034.30/163.42
  6. Step 6: Final answer
    x = 196.02

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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.