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Finding the Fourth Proportional to 313.92, 433.17 and 189.63

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Solution

The fourth proportional to 313.92, 433.17 and 189.63 is: 261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.92 : 433.17 = 189.63 : x
  2. Step 2: Convert to fraction form
    313.92/433.17 = 189.63/x
  3. Step 3: Cross multiply
    313.92x = 433.17 × 189.63
  4. Step 4: Simplify right side
    313.92x = 82,142.03
  5. Step 5: Solve for x
    x = 82,142.03/313.92
  6. Step 6: Final answer
    x = 261.67

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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.