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Finding the Fourth Proportional to 313.99, 470.81 and 108.50

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Solution

The fourth proportional to 313.99, 470.81 and 108.50 is: 162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.99 : 470.81 = 108.50 : x
  2. Step 2: Convert to fraction form
    313.99/470.81 = 108.50/x
  3. Step 3: Cross multiply
    313.99x = 470.81 × 108.50
  4. Step 4: Simplify right side
    313.99x = 51,080.80
  5. Step 5: Solve for x
    x = 51,080.80/313.99
  6. Step 6: Final answer
    x = 162.68

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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.