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Finding the Fourth Proportional to 2.51, 3.78 and 2.14

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Solution

The fourth proportional to 2.51, 3.78 and 2.14 is: 3.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.51 : 3.78 = 2.14 : x
  2. Step 2: Convert to fraction form
    2.51/3.78 = 2.14/x
  3. Step 3: Cross multiply
    2.51x = 3.78 × 2.14
  4. Step 4: Simplify right side
    2.51x = 8.08
  5. Step 5: Solve for x
    x = 8.08/2.51
  6. Step 6: Final answer
    x = 3.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.