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Finding the Fourth Proportional to 301.73, 416.21 and 219.11

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Solution

The fourth proportional to 301.73, 416.21 and 219.11 is: 302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.73 : 416.21 = 219.11 : x
  2. Step 2: Convert to fraction form
    301.73/416.21 = 219.11/x
  3. Step 3: Cross multiply
    301.73x = 416.21 × 219.11
  4. Step 4: Simplify right side
    301.73x = 91,192.60
  5. Step 5: Solve for x
    x = 91,192.60/301.73
  6. Step 6: Final answer
    x = 302.24

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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.