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Finding the Fourth Proportional to 300.36, 414.25 and 212.14

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Solution

The fourth proportional to 300.36, 414.25 and 212.14 is: 292.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.36 : 414.25 = 212.14 : x
  2. Step 2: Convert to fraction form
    300.36/414.25 = 212.14/x
  3. Step 3: Cross multiply
    300.36x = 414.25 × 212.14
  4. Step 4: Simplify right side
    300.36x = 87,875.86
  5. Step 5: Solve for x
    x = 87,875.86/300.36
  6. Step 6: Final answer
    x = 292.57

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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.