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Finding the Fourth Proportional to 313.85, 470.66 and 198.27

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Solution

The fourth proportional to 313.85, 470.66 and 198.27 is: 297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.85 : 470.66 = 198.27 : x
  2. Step 2: Convert to fraction form
    313.85/470.66 = 198.27/x
  3. Step 3: Cross multiply
    313.85x = 470.66 × 198.27
  4. Step 4: Simplify right side
    313.85x = 93,319.21
  5. Step 5: Solve for x
    x = 93,319.21/313.85
  6. Step 6: Final answer
    x = 297.34

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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.