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Finding the Fourth Proportional to 344.00, 474.62 and 196.58

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Solution

The fourth proportional to 344.00, 474.62 and 196.58 is: 271.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.00 : 474.62 = 196.58 : x
  2. Step 2: Convert to fraction form
    344.00/474.62 = 196.58/x
  3. Step 3: Cross multiply
    344.00x = 474.62 × 196.58
  4. Step 4: Simplify right side
    344.00x = 93,297.44
  5. Step 5: Solve for x
    x = 93,297.44/344.00
  6. Step 6: Final answer
    x = 271.22

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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.