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Finding the Fourth Proportional to 343.84, 474.47 and 194.48

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Solution

The fourth proportional to 343.84, 474.47 and 194.48 is: 268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.84 : 474.47 = 194.48 : x
  2. Step 2: Convert to fraction form
    343.84/474.47 = 194.48/x
  3. Step 3: Cross multiply
    343.84x = 474.47 × 194.48
  4. Step 4: Simplify right side
    343.84x = 92,274.93
  5. Step 5: Solve for x
    x = 92,274.93/343.84
  6. Step 6: Final answer
    x = 268.37

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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.