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Finding the Fourth Proportional to 198.02, 272.45 and 151.12

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Solution

The fourth proportional to 198.02, 272.45 and 151.12 is: 207.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.02 : 272.45 = 151.12 : x
  2. Step 2: Convert to fraction form
    198.02/272.45 = 151.12/x
  3. Step 3: Cross multiply
    198.02x = 272.45 × 151.12
  4. Step 4: Simplify right side
    198.02x = 41,172.64
  5. Step 5: Solve for x
    x = 41,172.64/198.02
  6. Step 6: Final answer
    x = 207.92

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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.