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Finding the Fourth Proportional to 194.64, 268.59 and 107.31

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Solution

The fourth proportional to 194.64, 268.59 and 107.31 is: 148.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.64 : 268.59 = 107.31 : x
  2. Step 2: Convert to fraction form
    194.64/268.59 = 107.31/x
  3. Step 3: Cross multiply
    194.64x = 268.59 × 107.31
  4. Step 4: Simplify right side
    194.64x = 28,821.05
  5. Step 5: Solve for x
    x = 28,821.05/194.64
  6. Step 6: Final answer
    x = 148.08

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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.