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Finding the Fourth Proportional to 196.06, 292.51 and 181.36

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Solution

The fourth proportional to 196.06, 292.51 and 181.36 is: 270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.06 : 292.51 = 181.36 : x
  2. Step 2: Convert to fraction form
    196.06/292.51 = 181.36/x
  3. Step 3: Cross multiply
    196.06x = 292.51 × 181.36
  4. Step 4: Simplify right side
    196.06x = 53,047.86
  5. Step 5: Solve for x
    x = 53,047.86/196.06
  6. Step 6: Final answer
    x = 270.57

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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.