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Finding the Fourth Proportional to 400.77, 601.02 and 181.44

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Solution

The fourth proportional to 400.77, 601.02 and 181.44 is: 272.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.77 : 601.02 = 181.44 : x
  2. Step 2: Convert to fraction form
    400.77/601.02 = 181.44/x
  3. Step 3: Cross multiply
    400.77x = 601.02 × 181.44
  4. Step 4: Simplify right side
    400.77x = 109,049.07
  5. Step 5: Solve for x
    x = 109,049.07/400.77
  6. Step 6: Final answer
    x = 272.10

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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.