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Finding the Fourth Proportional to 196.08, 292.71 and 189.33

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Solution

The fourth proportional to 196.08, 292.71 and 189.33 is: 282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.08 : 292.71 = 189.33 : x
  2. Step 2: Convert to fraction form
    196.08/292.71 = 189.33/x
  3. Step 3: Cross multiply
    196.08x = 292.71 × 189.33
  4. Step 4: Simplify right side
    196.08x = 55,418.78
  5. Step 5: Solve for x
    x = 55,418.78/196.08
  6. Step 6: Final answer
    x = 282.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.