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Finding the Fourth Proportional to 264.49, 365.10 and 195.10

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Solution

The fourth proportional to 264.49, 365.10 and 195.10 is: 269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.49 : 365.10 = 195.10 : x
  2. Step 2: Convert to fraction form
    264.49/365.10 = 195.10/x
  3. Step 3: Cross multiply
    264.49x = 365.10 × 195.10
  4. Step 4: Simplify right side
    264.49x = 71,231.01
  5. Step 5: Solve for x
    x = 71,231.01/264.49
  6. Step 6: Final answer
    x = 269.31

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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.