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Finding the Fourth Proportional to 194.84, 268.85 and 116.16

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Solution

The fourth proportional to 194.84, 268.85 and 116.16 is: 160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.84 : 268.85 = 116.16 : x
  2. Step 2: Convert to fraction form
    194.84/268.85 = 116.16/x
  3. Step 3: Cross multiply
    194.84x = 268.85 × 116.16
  4. Step 4: Simplify right side
    194.84x = 31,229.04
  5. Step 5: Solve for x
    x = 31,229.04/194.84
  6. Step 6: Final answer
    x = 160.28

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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.