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Finding the Fourth Proportional to 194.34, 268.02 and 116.58

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Solution

The fourth proportional to 194.34, 268.02 and 116.58 is: 160.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.34 : 268.02 = 116.58 : x
  2. Step 2: Convert to fraction form
    194.34/268.02 = 116.58/x
  3. Step 3: Cross multiply
    194.34x = 268.02 × 116.58
  4. Step 4: Simplify right side
    194.34x = 31,245.77
  5. Step 5: Solve for x
    x = 31,245.77/194.34
  6. Step 6: Final answer
    x = 160.78

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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.