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Finding the Fourth Proportional to 2.23, 2.96 and 2.23

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Solution

The fourth proportional to 2.23, 2.96 and 2.23 is: 2.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.23 : 2.96 = 2.23 : x
  2. Step 2: Convert to fraction form
    2.23/2.96 = 2.23/x
  3. Step 3: Cross multiply
    2.23x = 2.96 × 2.23
  4. Step 4: Simplify right side
    2.23x = 6.60
  5. Step 5: Solve for x
    x = 6.60/2.23
  6. Step 6: Final answer
    x = 2.96

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.