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Finding the Fourth Proportional to 343.84, 474.54 and 196.48

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Solution

The fourth proportional to 343.84, 474.54 and 196.48 is: 271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.84 : 474.54 = 196.48 : x
  2. Step 2: Convert to fraction form
    343.84/474.54 = 196.48/x
  3. Step 3: Cross multiply
    343.84x = 474.54 × 196.48
  4. Step 4: Simplify right side
    343.84x = 93,237.62
  5. Step 5: Solve for x
    x = 93,237.62/343.84
  6. Step 6: Final answer
    x = 271.17

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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.