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Finding the Fourth Proportional to 198.24, 272.95 and 180.01

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Solution

The fourth proportional to 198.24, 272.95 and 180.01 is: 247.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.24 : 272.95 = 180.01 : x
  2. Step 2: Convert to fraction form
    198.24/272.95 = 180.01/x
  3. Step 3: Cross multiply
    198.24x = 272.95 × 180.01
  4. Step 4: Simplify right side
    198.24x = 49,134.13
  5. Step 5: Solve for x
    x = 49,134.13/198.24
  6. Step 6: Final answer
    x = 247.85

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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.