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Finding the Fourth Proportional to 2.36, 3.53 and 2

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Solution

The fourth proportional to 2.36, 3.53 and 2 is: 2.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.36 : 3.53 = 2 : x
  2. Step 2: Convert to fraction form
    2.36/3.53 = 2/x
  3. Step 3: Cross multiply
    2.36x = 3.53 × 2
  4. Step 4: Simplify right side
    2.36x = 7.05
  5. Step 5: Solve for x
    x = 7.05/2.36
  6. Step 6: Final answer
    x = 2.99

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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.