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Finding the Fourth Proportional to 194.31, 268.16 and 106.98

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Solution

The fourth proportional to 194.31, 268.16 and 106.98 is: 147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.31 : 268.16 = 106.98 : x
  2. Step 2: Convert to fraction form
    194.31/268.16 = 106.98/x
  3. Step 3: Cross multiply
    194.31x = 268.16 × 106.98
  4. Step 4: Simplify right side
    194.31x = 28,687.22
  5. Step 5: Solve for x
    x = 28,687.22/194.31
  6. Step 6: Final answer
    x = 147.64

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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.