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Finding the Fourth Proportional to 2.27, 3.40 and 2.02

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Solution

The fourth proportional to 2.27, 3.40 and 2.02 is: 3.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.27 : 3.40 = 2.02 : x
  2. Step 2: Convert to fraction form
    2.27/3.40 = 2.02/x
  3. Step 3: Cross multiply
    2.27x = 3.40 × 2.02
  4. Step 4: Simplify right side
    2.27x = 6.84
  5. Step 5: Solve for x
    x = 6.84/2.27
  6. Step 6: Final answer
    x = 3.01

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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.