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Finding the Fourth Proportional to 169.98, 234.63 and 154.38

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Solution

The fourth proportional to 169.98, 234.63 and 154.38 is: 213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.98 : 234.63 = 154.38 : x
  2. Step 2: Convert to fraction form
    169.98/234.63 = 154.38/x
  3. Step 3: Cross multiply
    169.98x = 234.63 × 154.38
  4. Step 4: Simplify right side
    169.98x = 36,222.18
  5. Step 5: Solve for x
    x = 36,222.18/169.98
  6. Step 6: Final answer
    x = 213.10

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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.