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Finding the Fourth Proportional to 301.61, 416.15 and 181.96

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Solution

The fourth proportional to 301.61, 416.15 and 181.96 is: 251.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.61 : 416.15 = 181.96 : x
  2. Step 2: Convert to fraction form
    301.61/416.15 = 181.96/x
  3. Step 3: Cross multiply
    301.61x = 416.15 × 181.96
  4. Step 4: Simplify right side
    301.61x = 75,722.95
  5. Step 5: Solve for x
    x = 75,722.95/301.61
  6. Step 6: Final answer
    x = 251.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.