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Finding the Fourth Proportional to 163.10, 243.54 and 128.47

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Solution

The fourth proportional to 163.10, 243.54 and 128.47 is: 191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.10 : 243.54 = 128.47 : x
  2. Step 2: Convert to fraction form
    163.10/243.54 = 128.47/x
  3. Step 3: Cross multiply
    163.10x = 243.54 × 128.47
  4. Step 4: Simplify right side
    163.10x = 31,287.58
  5. Step 5: Solve for x
    x = 31,287.58/163.10
  6. Step 6: Final answer
    x = 191.83

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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.