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Finding the Fourth Proportional to 313.91, 433.10 and 189.61

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Solution

The fourth proportional to 313.91, 433.10 and 189.61 is: 261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.91 : 433.10 = 189.61 : x
  2. Step 2: Convert to fraction form
    313.91/433.10 = 189.61/x
  3. Step 3: Cross multiply
    313.91x = 433.10 × 189.61
  4. Step 4: Simplify right side
    313.91x = 82,120.09
  5. Step 5: Solve for x
    x = 82,120.09/313.91
  6. Step 6: Final answer
    x = 261.60

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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.