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Finding the Fourth Proportional to 2.01, 2.98 and 2.00

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Solution

The fourth proportional to 2.01, 2.98 and 2.00 is: 2.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.01 : 2.98 = 2.00 : x
  2. Step 2: Convert to fraction form
    2.01/2.98 = 2.00/x
  3. Step 3: Cross multiply
    2.01x = 2.98 × 2.00
  4. Step 4: Simplify right side
    2.01x = 5.97
  5. Step 5: Solve for x
    x = 5.97/2.01
  6. Step 6: Final answer
    x = 2.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.