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Finding the Fourth Proportional to 194.69, 292.04 and 118.14

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Solution

The fourth proportional to 194.69, 292.04 and 118.14 is: 177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.69 : 292.04 = 118.14 : x
  2. Step 2: Convert to fraction form
    194.69/292.04 = 118.14/x
  3. Step 3: Cross multiply
    194.69x = 292.04 × 118.14
  4. Step 4: Simplify right side
    194.69x = 34,501.01
  5. Step 5: Solve for x
    x = 34,501.01/194.69
  6. Step 6: Final answer
    x = 177.21

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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.