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Finding the Fourth Proportional to 302.18, 416.25 and 219.06

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Solution

The fourth proportional to 302.18, 416.25 and 219.06 is: 301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.18 : 416.25 = 219.06 : x
  2. Step 2: Convert to fraction form
    302.18/416.25 = 219.06/x
  3. Step 3: Cross multiply
    302.18x = 416.25 × 219.06
  4. Step 4: Simplify right side
    302.18x = 91,183.73
  5. Step 5: Solve for x
    x = 91,183.73/302.18
  6. Step 6: Final answer
    x = 301.76

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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.