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Finding the Fourth Proportional to 313.85, 470.75 and 151.49

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Solution

The fourth proportional to 313.85, 470.75 and 151.49 is: 227.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.85 : 470.75 = 151.49 : x
  2. Step 2: Convert to fraction form
    313.85/470.75 = 151.49/x
  3. Step 3: Cross multiply
    313.85x = 470.75 × 151.49
  4. Step 4: Simplify right side
    313.85x = 71,313.92
  5. Step 5: Solve for x
    x = 71,313.92/313.85
  6. Step 6: Final answer
    x = 227.22

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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.