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Finding the Fourth Proportional to 252.11, 376.48 and 197.39

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Solution

The fourth proportional to 252.11, 376.48 and 197.39 is: 294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.11 : 376.48 = 197.39 : x
  2. Step 2: Convert to fraction form
    252.11/376.48 = 197.39/x
  3. Step 3: Cross multiply
    252.11x = 376.48 × 197.39
  4. Step 4: Simplify right side
    252.11x = 74,313.39
  5. Step 5: Solve for x
    x = 74,313.39/252.11
  6. Step 6: Final answer
    x = 294.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.