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Finding the Fourth Proportional to 163.13, 224.69 and 140.90

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Solution

The fourth proportional to 163.13, 224.69 and 140.90 is: 194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.13 : 224.69 = 140.90 : x
  2. Step 2: Convert to fraction form
    163.13/224.69 = 140.90/x
  3. Step 3: Cross multiply
    163.13x = 224.69 × 140.90
  4. Step 4: Simplify right side
    163.13x = 31,656.99
  5. Step 5: Solve for x
    x = 31,656.99/163.13
  6. Step 6: Final answer
    x = 194.07

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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.