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Finding the Fourth Proportional to 194.93, 292.57 and 113.66

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Solution

The fourth proportional to 194.93, 292.57 and 113.66 is: 170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.93 : 292.57 = 113.66 : x
  2. Step 2: Convert to fraction form
    194.93/292.57 = 113.66/x
  3. Step 3: Cross multiply
    194.93x = 292.57 × 113.66
  4. Step 4: Simplify right side
    194.93x = 33,253.51
  5. Step 5: Solve for x
    x = 33,253.51/194.93
  6. Step 6: Final answer
    x = 170.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.