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Finding the Fourth Proportional to 2.00, 2.99 and 1.67

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Solution

The fourth proportional to 2.00, 2.99 and 1.67 is: 2.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.00 : 2.99 = 1.67 : x
  2. Step 2: Convert to fraction form
    2.00/2.99 = 1.67/x
  3. Step 3: Cross multiply
    2.00x = 2.99 × 1.67
  4. Step 4: Simplify right side
    2.00x = 4.98
  5. Step 5: Solve for x
    x = 4.98/2.00
  6. Step 6: Final answer
    x = 2.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.