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Finding the Fourth Proportional to 194.84, 268.82 and 117.16

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Solution

The fourth proportional to 194.84, 268.82 and 117.16 is: 161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.84 : 268.82 = 117.16 : x
  2. Step 2: Convert to fraction form
    194.84/268.82 = 117.16/x
  3. Step 3: Cross multiply
    194.84x = 268.82 × 117.16
  4. Step 4: Simplify right side
    194.84x = 31,494.95
  5. Step 5: Solve for x
    x = 31,494.95/194.84
  6. Step 6: Final answer
    x = 161.65

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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.