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Finding the Fourth Proportional to 302.17, 416.37 and 219.16

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Solution

The fourth proportional to 302.17, 416.37 and 219.16 is: 301.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.17 : 416.37 = 219.16 : x
  2. Step 2: Convert to fraction form
    302.17/416.37 = 219.16/x
  3. Step 3: Cross multiply
    302.17x = 416.37 × 219.16
  4. Step 4: Simplify right side
    302.17x = 91,251.65
  5. Step 5: Solve for x
    x = 91,251.65/302.17
  6. Step 6: Final answer
    x = 301.99

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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.