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Finding the Fourth Proportional to 271.60, 375.13 and 198.25

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Solution

The fourth proportional to 271.60, 375.13 and 198.25 is: 273.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.60 : 375.13 = 198.25 : x
  2. Step 2: Convert to fraction form
    271.60/375.13 = 198.25/x
  3. Step 3: Cross multiply
    271.60x = 375.13 × 198.25
  4. Step 4: Simplify right side
    271.60x = 74,368.09
  5. Step 5: Solve for x
    x = 74,368.09/271.60
  6. Step 6: Final answer
    x = 273.82

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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.