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Finding the Fourth Proportional to 313.78, 470.64 and 131.12

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Solution

The fourth proportional to 313.78, 470.64 and 131.12 is: 196.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.78 : 470.64 = 131.12 : x
  2. Step 2: Convert to fraction form
    313.78/470.64 = 131.12/x
  3. Step 3: Cross multiply
    313.78x = 470.64 × 131.12
  4. Step 4: Simplify right side
    313.78x = 61,710.32
  5. Step 5: Solve for x
    x = 61,710.32/313.78
  6. Step 6: Final answer
    x = 196.67

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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.