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Finding the Fourth Proportional to 194.22, 291.77 and 117.33

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Solution

The fourth proportional to 194.22, 291.77 and 117.33 is: 176.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.22 : 291.77 = 117.33 : x
  2. Step 2: Convert to fraction form
    194.22/291.77 = 117.33/x
  3. Step 3: Cross multiply
    194.22x = 291.77 × 117.33
  4. Step 4: Simplify right side
    194.22x = 34,232.79
  5. Step 5: Solve for x
    x = 34,232.79/194.22
  6. Step 6: Final answer
    x = 176.26

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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.