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Finding the Fourth Proportional to 196.22, 292.36 and 182.25

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Solution

The fourth proportional to 196.22, 292.36 and 182.25 is: 271.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.22 : 292.36 = 182.25 : x
  2. Step 2: Convert to fraction form
    196.22/292.36 = 182.25/x
  3. Step 3: Cross multiply
    196.22x = 292.36 × 182.25
  4. Step 4: Simplify right side
    196.22x = 53,282.50
  5. Step 5: Solve for x
    x = 53,282.50/196.22
  6. Step 6: Final answer
    x = 271.54

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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.