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Finding the Fourth Proportional to 313.45, 469.91 and 159.31

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Solution

The fourth proportional to 313.45, 469.91 and 159.31 is: 238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.45 : 469.91 = 159.31 : x
  2. Step 2: Convert to fraction form
    313.45/469.91 = 159.31/x
  3. Step 3: Cross multiply
    313.45x = 469.91 × 159.31
  4. Step 4: Simplify right side
    313.45x = 74,858.22
  5. Step 5: Solve for x
    x = 74,858.22/313.45
  6. Step 6: Final answer
    x = 238.82

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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.