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Finding the Fourth Proportional to 341.88, 471.83 and 194.54

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Solution

The fourth proportional to 341.88, 471.83 and 194.54 is: 268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.88 : 471.83 = 194.54 : x
  2. Step 2: Convert to fraction form
    341.88/471.83 = 194.54/x
  3. Step 3: Cross multiply
    341.88x = 471.83 × 194.54
  4. Step 4: Simplify right side
    341.88x = 91,787.57
  5. Step 5: Solve for x
    x = 91,787.57/341.88
  6. Step 6: Final answer
    x = 268.48

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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.