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Finding the Fourth Proportional to 341.85, 471.71 and 194.46

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Solution

The fourth proportional to 341.85, 471.71 and 194.46 is: 268.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.85 : 471.71 = 194.46 : x
  2. Step 2: Convert to fraction form
    341.85/471.71 = 194.46/x
  3. Step 3: Cross multiply
    341.85x = 471.71 × 194.46
  4. Step 4: Simplify right side
    341.85x = 91,727.75
  5. Step 5: Solve for x
    x = 91,727.75/341.85
  6. Step 6: Final answer
    x = 268.33

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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.