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Finding the Fourth Proportional to 313.50, 470.19 and 108.06

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Solution

The fourth proportional to 313.50, 470.19 and 108.06 is: 162.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.50 : 470.19 = 108.06 : x
  2. Step 2: Convert to fraction form
    313.50/470.19 = 108.06/x
  3. Step 3: Cross multiply
    313.50x = 470.19 × 108.06
  4. Step 4: Simplify right side
    313.50x = 50,808.73
  5. Step 5: Solve for x
    x = 50,808.73/313.50
  6. Step 6: Final answer
    x = 162.07

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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.