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Finding the Fourth Proportional to 314.26, 470.87 and 140.66

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Solution

The fourth proportional to 314.26, 470.87 and 140.66 is: 210.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.26 : 470.87 = 140.66 : x
  2. Step 2: Convert to fraction form
    314.26/470.87 = 140.66/x
  3. Step 3: Cross multiply
    314.26x = 470.87 × 140.66
  4. Step 4: Simplify right side
    314.26x = 66,234.10
  5. Step 5: Solve for x
    x = 66,234.10/314.26
  6. Step 6: Final answer
    x = 210.76

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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.