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Finding the Fourth Proportional to 300.16, 414.19 and 221.52

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Solution

The fourth proportional to 300.16, 414.19 and 221.52 is: 305.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.16 : 414.19 = 221.52 : x
  2. Step 2: Convert to fraction form
    300.16/414.19 = 221.52/x
  3. Step 3: Cross multiply
    300.16x = 414.19 × 221.52
  4. Step 4: Simplify right side
    300.16x = 91,749.26
  5. Step 5: Solve for x
    x = 91,749.26/300.16
  6. Step 6: Final answer
    x = 305.67

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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.