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Finding the Fourth Proportional to 343.94, 474.63 and 194.56

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Solution

The fourth proportional to 343.94, 474.63 and 194.56 is: 268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.94 : 474.63 = 194.56 : x
  2. Step 2: Convert to fraction form
    343.94/474.63 = 194.56/x
  3. Step 3: Cross multiply
    343.94x = 474.63 × 194.56
  4. Step 4: Simplify right side
    343.94x = 92,343.04
  5. Step 5: Solve for x
    x = 92,343.04/343.94
  6. Step 6: Final answer
    x = 268.49

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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.