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Finding the Fourth Proportional to 313.84, 470.73 and 108.37

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Solution

The fourth proportional to 313.84, 470.73 and 108.37 is: 162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.84 : 470.73 = 108.37 : x
  2. Step 2: Convert to fraction form
    313.84/470.73 = 108.37/x
  3. Step 3: Cross multiply
    313.84x = 470.73 × 108.37
  4. Step 4: Simplify right side
    313.84x = 51,013.01
  5. Step 5: Solve for x
    x = 51,013.01/313.84
  6. Step 6: Final answer
    x = 162.54

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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.