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Finding the Fourth Proportional to 400.85, 601.47 and 181.63

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Solution

The fourth proportional to 400.85, 601.47 and 181.63 is: 272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.85 : 601.47 = 181.63 : x
  2. Step 2: Convert to fraction form
    400.85/601.47 = 181.63/x
  3. Step 3: Cross multiply
    400.85x = 601.47 × 181.63
  4. Step 4: Simplify right side
    400.85x = 109,243.49
  5. Step 5: Solve for x
    x = 109,243.49/400.85
  6. Step 6: Final answer
    x = 272.53

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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.