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Finding the Fourth Proportional to 296.92, 446.01 and 181.42

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Solution

The fourth proportional to 296.92, 446.01 and 181.42 is: 272.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.92 : 446.01 = 181.42 : x
  2. Step 2: Convert to fraction form
    296.92/446.01 = 181.42/x
  3. Step 3: Cross multiply
    296.92x = 446.01 × 181.42
  4. Step 4: Simplify right side
    296.92x = 80,915.85
  5. Step 5: Solve for x
    x = 80,915.85/296.92
  6. Step 6: Final answer
    x = 272.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.