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Finding the Fourth Proportional to 272.15, 375.30 and 198.34

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Solution

The fourth proportional to 272.15, 375.30 and 198.34 is: 273.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.15 : 375.30 = 198.34 : x
  2. Step 2: Convert to fraction form
    272.15/375.30 = 198.34/x
  3. Step 3: Cross multiply
    272.15x = 375.30 × 198.34
  4. Step 4: Simplify right side
    272.15x = 74,437.00
  5. Step 5: Solve for x
    x = 74,437.00/272.15
  6. Step 6: Final answer
    x = 273.51

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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.