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Finding the Fourth Proportional to 194.60, 268.56 and 107.29

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Solution

The fourth proportional to 194.60, 268.56 and 107.29 is: 148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.60 : 268.56 = 107.29 : x
  2. Step 2: Convert to fraction form
    194.60/268.56 = 107.29/x
  3. Step 3: Cross multiply
    194.60x = 268.56 × 107.29
  4. Step 4: Simplify right side
    194.60x = 28,812.19
  5. Step 5: Solve for x
    x = 28,812.19/194.60
  6. Step 6: Final answer
    x = 148.06

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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.