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Finding the Fourth Proportional to 2.50, 3.42 and 2.33

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Solution

The fourth proportional to 2.50, 3.42 and 2.33 is: 3.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.50 : 3.42 = 2.33 : x
  2. Step 2: Convert to fraction form
    2.50/3.42 = 2.33/x
  3. Step 3: Cross multiply
    2.50x = 3.42 × 2.33
  4. Step 4: Simplify right side
    2.50x = 7.96
  5. Step 5: Solve for x
    x = 7.96/2.50
  6. Step 6: Final answer
    x = 3.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.