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Finding the Fourth Proportional to 313.74, 470.38 and 130.96

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Solution

The fourth proportional to 313.74, 470.38 and 130.96 is: 196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.74 : 470.38 = 130.96 : x
  2. Step 2: Convert to fraction form
    313.74/470.38 = 130.96/x
  3. Step 3: Cross multiply
    313.74x = 470.38 × 130.96
  4. Step 4: Simplify right side
    313.74x = 61,600.96
  5. Step 5: Solve for x
    x = 61,600.96/313.74
  6. Step 6: Final answer
    x = 196.34

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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.