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Finding the Fourth Proportional to 198.23, 272.93 and 168.66

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Solution

The fourth proportional to 198.23, 272.93 and 168.66 is: 232.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.23 : 272.93 = 168.66 : x
  2. Step 2: Convert to fraction form
    198.23/272.93 = 168.66/x
  3. Step 3: Cross multiply
    198.23x = 272.93 × 168.66
  4. Step 4: Simplify right side
    198.23x = 46,031.53
  5. Step 5: Solve for x
    x = 46,031.53/198.23
  6. Step 6: Final answer
    x = 232.22

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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.