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Finding the Fourth Proportional to 163.98, 226.47 and 127.58

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Solution

The fourth proportional to 163.98, 226.47 and 127.58 is: 176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.98 : 226.47 = 127.58 : x
  2. Step 2: Convert to fraction form
    163.98/226.47 = 127.58/x
  3. Step 3: Cross multiply
    163.98x = 226.47 × 127.58
  4. Step 4: Simplify right side
    163.98x = 28,891.91
  5. Step 5: Solve for x
    x = 28,891.91/163.98
  6. Step 6: Final answer
    x = 176.19

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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.