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Finding the Fourth Proportional to 313.93, 470.74 and 131.28

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Solution

The fourth proportional to 313.93, 470.74 and 131.28 is: 196.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.93 : 470.74 = 131.28 : x
  2. Step 2: Convert to fraction form
    313.93/470.74 = 131.28/x
  3. Step 3: Cross multiply
    313.93x = 470.74 × 131.28
  4. Step 4: Simplify right side
    313.93x = 61,798.75
  5. Step 5: Solve for x
    x = 61,798.75/313.93
  6. Step 6: Final answer
    x = 196.86

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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.