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Finding the Fourth Proportional to 313.41, 470.19 and 130.80

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Solution

The fourth proportional to 313.41, 470.19 and 130.80 is: 196.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.41 : 470.19 = 130.80 : x
  2. Step 2: Convert to fraction form
    313.41/470.19 = 130.80/x
  3. Step 3: Cross multiply
    313.41x = 470.19 × 130.80
  4. Step 4: Simplify right side
    313.41x = 61,500.85
  5. Step 5: Solve for x
    x = 61,500.85/313.41
  6. Step 6: Final answer
    x = 196.23

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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.