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Finding the Fourth Proportional to 163.16, 224.96 and 140.99

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Solution

The fourth proportional to 163.16, 224.96 and 140.99 is: 194.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.16 : 224.96 = 140.99 : x
  2. Step 2: Convert to fraction form
    163.16/224.96 = 140.99/x
  3. Step 3: Cross multiply
    163.16x = 224.96 × 140.99
  4. Step 4: Simplify right side
    163.16x = 31,717.11
  5. Step 5: Solve for x
    x = 31,717.11/163.16
  6. Step 6: Final answer
    x = 194.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.