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Finding the Fourth Proportional to 342, 472 and 194.64

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Solution

The fourth proportional to 342, 472 and 194.64 is: 268.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    342 : 472 = 194.64 : x
  2. Step 2: Convert to fraction form
    342/472 = 194.64/x
  3. Step 3: Cross multiply
    342x = 472 × 194.64
  4. Step 4: Simplify right side
    342x = 91,870.08
  5. Step 5: Solve for x
    x = 91,870.08/342
  6. Step 6: Final answer
    x = 268.63

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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.