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Finding the Fourth Proportional to 344.01, 474.72 and 194.64

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Solution

The fourth proportional to 344.01, 474.72 and 194.64 is: 268.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.01 : 474.72 = 194.64 : x
  2. Step 2: Convert to fraction form
    344.01/474.72 = 194.64/x
  3. Step 3: Cross multiply
    344.01x = 474.72 × 194.64
  4. Step 4: Simplify right side
    344.01x = 92,396.99
  5. Step 5: Solve for x
    x = 92,396.99/344.01
  6. Step 6: Final answer
    x = 268.59

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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.