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Finding the Fourth Proportional to 194.26, 292.46 and 177.26

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Solution

The fourth proportional to 194.26, 292.46 and 177.26 is: 266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.26 : 292.46 = 177.26 : x
  2. Step 2: Convert to fraction form
    194.26/292.46 = 177.26/x
  3. Step 3: Cross multiply
    194.26x = 292.46 × 177.26
  4. Step 4: Simplify right side
    194.26x = 51,841.46
  5. Step 5: Solve for x
    x = 51,841.46/194.26
  6. Step 6: Final answer
    x = 266.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.