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Finding the Fourth Proportional to 194.32, 268.12 and 110.26

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Solution

The fourth proportional to 194.32, 268.12 and 110.26 is: 152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.32 : 268.12 = 110.26 : x
  2. Step 2: Convert to fraction form
    194.32/268.12 = 110.26/x
  3. Step 3: Cross multiply
    194.32x = 268.12 × 110.26
  4. Step 4: Simplify right side
    194.32x = 29,563.38
  5. Step 5: Solve for x
    x = 29,563.38/194.32
  6. Step 6: Final answer
    x = 152.14

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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.