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Finding the Fourth Proportional to 3.00, 4.50 and 1.80

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Solution

The fourth proportional to 3.00, 4.50 and 1.80 is: 2.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.00 : 4.50 = 1.80 : x
  2. Step 2: Convert to fraction form
    3.00/4.50 = 1.80/x
  3. Step 3: Cross multiply
    3.00x = 4.50 × 1.80
  4. Step 4: Simplify right side
    3.00x = 8.09
  5. Step 5: Solve for x
    x = 8.09/3.00
  6. Step 6: Final answer
    x = 2.69

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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.