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Finding the Fourth Proportional to 194.57, 291.67 and 72.80

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Solution

The fourth proportional to 194.57, 291.67 and 72.80 is: 109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.57 : 291.67 = 72.80 : x
  2. Step 2: Convert to fraction form
    194.57/291.67 = 72.80/x
  3. Step 3: Cross multiply
    194.57x = 291.67 × 72.80
  4. Step 4: Simplify right side
    194.57x = 21,234.26
  5. Step 5: Solve for x
    x = 21,234.26/194.57
  6. Step 6: Final answer
    x = 109.13

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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.