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Finding the Fourth Proportional to 230.33, 317.63 and 195.46

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Solution

The fourth proportional to 230.33, 317.63 and 195.46 is: 269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.33 : 317.63 = 195.46 : x
  2. Step 2: Convert to fraction form
    230.33/317.63 = 195.46/x
  3. Step 3: Cross multiply
    230.33x = 317.63 × 195.46
  4. Step 4: Simplify right side
    230.33x = 62,083.65
  5. Step 5: Solve for x
    x = 62,083.65/230.33
  6. Step 6: Final answer
    x = 269.54

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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.