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Finding the Fourth Proportional to 198.32, 272.55 and 154.58

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Solution

The fourth proportional to 198.32, 272.55 and 154.58 is: 212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.32 : 272.55 = 154.58 : x
  2. Step 2: Convert to fraction form
    198.32/272.55 = 154.58/x
  3. Step 3: Cross multiply
    198.32x = 272.55 × 154.58
  4. Step 4: Simplify right side
    198.32x = 42,129.13
  5. Step 5: Solve for x
    x = 42,129.13/198.32
  6. Step 6: Final answer
    x = 212.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.