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Finding the Fourth Proportional to 401.40, 602.26 and 181.94

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Solution

The fourth proportional to 401.40, 602.26 and 181.94 is: 272.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.40 : 602.26 = 181.94 : x
  2. Step 2: Convert to fraction form
    401.40/602.26 = 181.94/x
  3. Step 3: Cross multiply
    401.40x = 602.26 × 181.94
  4. Step 4: Simplify right side
    401.40x = 109,571.72
  5. Step 5: Solve for x
    x = 109,571.72/401.40
  6. Step 6: Final answer
    x = 272.97

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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.