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Finding the Fourth Proportional to 313.81, 471.00 and 159.84

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Solution

The fourth proportional to 313.81, 471.00 and 159.84 is: 239.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.81 : 471.00 = 159.84 : x
  2. Step 2: Convert to fraction form
    313.81/471.00 = 159.84/x
  3. Step 3: Cross multiply
    313.81x = 471.00 × 159.84
  4. Step 4: Simplify right side
    313.81x = 75,286.22
  5. Step 5: Solve for x
    x = 75,286.22/313.81
  6. Step 6: Final answer
    x = 239.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.