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Finding the Fourth Proportional to 313.91, 470.99 and 140.57

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Solution

The fourth proportional to 313.91, 470.99 and 140.57 is: 210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.91 : 470.99 = 140.57 : x
  2. Step 2: Convert to fraction form
    313.91/470.99 = 140.57/x
  3. Step 3: Cross multiply
    313.91x = 470.99 × 140.57
  4. Step 4: Simplify right side
    313.91x = 66,204.71
  5. Step 5: Solve for x
    x = 66,204.71/313.91
  6. Step 6: Final answer
    x = 210.91

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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.