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Finding the Fourth Proportional to 2.65, 3.65 and 2.00

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Solution

The fourth proportional to 2.65, 3.65 and 2.00 is: 2.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.65 : 3.65 = 2.00 : x
  2. Step 2: Convert to fraction form
    2.65/3.65 = 2.00/x
  3. Step 3: Cross multiply
    2.65x = 3.65 × 2.00
  4. Step 4: Simplify right side
    2.65x = 7.28
  5. Step 5: Solve for x
    x = 7.28/2.65
  6. Step 6: Final answer
    x = 2.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.