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Finding the Fourth Proportional to 194.21, 268.01 and 106.88

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Solution

The fourth proportional to 194.21, 268.01 and 106.88 is: 147.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.21 : 268.01 = 106.88 : x
  2. Step 2: Convert to fraction form
    194.21/268.01 = 106.88/x
  3. Step 3: Cross multiply
    194.21x = 268.01 × 106.88
  4. Step 4: Simplify right side
    194.21x = 28,643.03
  5. Step 5: Solve for x
    x = 28,643.03/194.21
  6. Step 6: Final answer
    x = 147.49

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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.