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Finding the Fourth Proportional to 194.61, 292.82 and 154.47

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Solution

The fourth proportional to 194.61, 292.82 and 154.47 is: 232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.61 : 292.82 = 154.47 : x
  2. Step 2: Convert to fraction form
    194.61/292.82 = 154.47/x
  3. Step 3: Cross multiply
    194.61x = 292.82 × 154.47
  4. Step 4: Simplify right side
    194.61x = 45,231.13
  5. Step 5: Solve for x
    x = 45,231.13/194.61
  6. Step 6: Final answer
    x = 232.42

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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.