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Finding the Fourth Proportional to 194.65, 292.14 and 86.41

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Solution

The fourth proportional to 194.65, 292.14 and 86.41 is: 129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.65 : 292.14 = 86.41 : x
  2. Step 2: Convert to fraction form
    194.65/292.14 = 86.41/x
  3. Step 3: Cross multiply
    194.65x = 292.14 × 86.41
  4. Step 4: Simplify right side
    194.65x = 25,243.82
  5. Step 5: Solve for x
    x = 25,243.82/194.65
  6. Step 6: Final answer
    x = 129.69

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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.