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Finding the Fourth Proportional to 163.91, 244.04 and 163.10

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Solution

The fourth proportional to 163.91, 244.04 and 163.10 is: 242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.91 : 244.04 = 163.10 : x
  2. Step 2: Convert to fraction form
    163.91/244.04 = 163.10/x
  3. Step 3: Cross multiply
    163.91x = 244.04 × 163.10
  4. Step 4: Simplify right side
    163.91x = 39,802.92
  5. Step 5: Solve for x
    x = 39,802.92/163.91
  6. Step 6: Final answer
    x = 242.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.