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Finding the Fourth Proportional to 301.92, 416.28 and 214.44

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Solution

The fourth proportional to 301.92, 416.28 and 214.44 is: 295.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.92 : 416.28 = 214.44 : x
  2. Step 2: Convert to fraction form
    301.92/416.28 = 214.44/x
  3. Step 3: Cross multiply
    301.92x = 416.28 × 214.44
  4. Step 4: Simplify right side
    301.92x = 89,267.08
  5. Step 5: Solve for x
    x = 89,267.08/301.92
  6. Step 6: Final answer
    x = 295.66

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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.