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Finding the Fourth Proportional to 196.22, 292.72 and 180.34

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Solution

The fourth proportional to 196.22, 292.72 and 180.34 is: 269.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.22 : 292.72 = 180.34 : x
  2. Step 2: Convert to fraction form
    196.22/292.72 = 180.34/x
  3. Step 3: Cross multiply
    196.22x = 292.72 × 180.34
  4. Step 4: Simplify right side
    196.22x = 52,789.12
  5. Step 5: Solve for x
    x = 52,789.12/196.22
  6. Step 6: Final answer
    x = 269.04

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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.