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Finding the Fourth Proportional to 313.26, 469.81 and 159.09

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Solution

The fourth proportional to 313.26, 469.81 and 159.09 is: 238.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.26 : 469.81 = 159.09 : x
  2. Step 2: Convert to fraction form
    313.26/469.81 = 159.09/x
  3. Step 3: Cross multiply
    313.26x = 469.81 × 159.09
  4. Step 4: Simplify right side
    313.26x = 74,742.07
  5. Step 5: Solve for x
    x = 74,742.07/313.26
  6. Step 6: Final answer
    x = 238.59

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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.