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Finding the Fourth Proportional to 401.35, 601.34 and 181.61

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Solution

The fourth proportional to 401.35, 601.34 and 181.61 is: 272.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.35 : 601.34 = 181.61 : x
  2. Step 2: Convert to fraction form
    401.35/601.34 = 181.61/x
  3. Step 3: Cross multiply
    401.35x = 601.34 × 181.61
  4. Step 4: Simplify right side
    401.35x = 109,209.36
  5. Step 5: Solve for x
    x = 109,209.36/401.35
  6. Step 6: Final answer
    x = 272.11

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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.