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Finding the Fourth Proportional to 194.21, 268 and 111.31

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Solution

The fourth proportional to 194.21, 268 and 111.31 is: 153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.21 : 268 = 111.31 : x
  2. Step 2: Convert to fraction form
    194.21/268 = 111.31/x
  3. Step 3: Cross multiply
    194.21x = 268 × 111.31
  4. Step 4: Simplify right side
    194.21x = 29,831.08
  5. Step 5: Solve for x
    x = 29,831.08/194.21
  6. Step 6: Final answer
    x = 153.60

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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.