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Finding the Fourth Proportional to 338.16, 466.56 and 198.24

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Solution

The fourth proportional to 338.16, 466.56 and 198.24 is: 273.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.16 : 466.56 = 198.24 : x
  2. Step 2: Convert to fraction form
    338.16/466.56 = 198.24/x
  3. Step 3: Cross multiply
    338.16x = 466.56 × 198.24
  4. Step 4: Simplify right side
    338.16x = 92,490.85
  5. Step 5: Solve for x
    x = 92,490.85/338.16
  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.