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Finding the Fourth Proportional to 209.12, 313.56 and 140.67

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Solution

The fourth proportional to 209.12, 313.56 and 140.67 is: 210.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.12 : 313.56 = 140.67 : x
  2. Step 2: Convert to fraction form
    209.12/313.56 = 140.67/x
  3. Step 3: Cross multiply
    209.12x = 313.56 × 140.67
  4. Step 4: Simplify right side
    209.12x = 44,108.49
  5. Step 5: Solve for x
    x = 44,108.49/209.12
  6. Step 6: Final answer
    x = 210.93

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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.