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Finding the Fourth Proportional to 194.37, 291.47 and 113.24

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Solution

The fourth proportional to 194.37, 291.47 and 113.24 is: 169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.37 : 291.47 = 113.24 : x
  2. Step 2: Convert to fraction form
    194.37/291.47 = 113.24/x
  3. Step 3: Cross multiply
    194.37x = 291.47 × 113.24
  4. Step 4: Simplify right side
    194.37x = 33,004.04
  5. Step 5: Solve for x
    x = 33,004.04/194.37
  6. Step 6: Final answer
    x = 169.80

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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.