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Finding the Fourth Proportional to 194.23, 292.41 and 177.22

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Solution

The fourth proportional to 194.23, 292.41 and 177.22 is: 266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.23 : 292.41 = 177.22 : x
  2. Step 2: Convert to fraction form
    194.23/292.41 = 177.22/x
  3. Step 3: Cross multiply
    194.23x = 292.41 × 177.22
  4. Step 4: Simplify right side
    194.23x = 51,821.27
  5. Step 5: Solve for x
    x = 51,821.27/194.23
  6. Step 6: Final answer
    x = 266.80

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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.