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Finding the Fourth Proportional to 196.72, 293.64 and 181.60

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Solution

The fourth proportional to 196.72, 293.64 and 181.60 is: 271.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.72 : 293.64 = 181.60 : x
  2. Step 2: Convert to fraction form
    196.72/293.64 = 181.60/x
  3. Step 3: Cross multiply
    196.72x = 293.64 × 181.60
  4. Step 4: Simplify right side
    196.72x = 53,325.02
  5. Step 5: Solve for x
    x = 53,325.02/196.72
  6. Step 6: Final answer
    x = 271.07

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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.