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Finding the Fourth Proportional to 297.04, 445.06 and 181.13

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Solution

The fourth proportional to 297.04, 445.06 and 181.13 is: 271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.04 : 445.06 = 181.13 : x
  2. Step 2: Convert to fraction form
    297.04/445.06 = 181.13/x
  3. Step 3: Cross multiply
    297.04x = 445.06 × 181.13
  4. Step 4: Simplify right side
    297.04x = 80,613.72
  5. Step 5: Solve for x
    x = 80,613.72/297.04
  6. Step 6: Final answer
    x = 271.39

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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.