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Finding the Fourth Proportional to 196.32, 292.96 and 181.84

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Solution

The fourth proportional to 196.32, 292.96 and 181.84 is: 271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.32 : 292.96 = 181.84 : x
  2. Step 2: Convert to fraction form
    196.32/292.96 = 181.84/x
  3. Step 3: Cross multiply
    196.32x = 292.96 × 181.84
  4. Step 4: Simplify right side
    196.32x = 53,271.85
  5. Step 5: Solve for x
    x = 53,271.85/196.32
  6. Step 6: Final answer
    x = 271.35

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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.