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Finding the Fourth Proportional to 3.33, 5.00 and 2.45

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Solution

The fourth proportional to 3.33, 5.00 and 2.45 is: 3.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.33 : 5.00 = 2.45 : x
  2. Step 2: Convert to fraction form
    3.33/5.00 = 2.45/x
  3. Step 3: Cross multiply
    3.33x = 5.00 × 2.45
  4. Step 4: Simplify right side
    3.33x = 12.21
  5. Step 5: Solve for x
    x = 12.21/3.33
  6. Step 6: Final answer
    x = 3.67

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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.