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Finding the Fourth Proportional to 230.49, 317.84 and 195.48

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Solution

The fourth proportional to 230.49, 317.84 and 195.48 is: 269.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.49 : 317.84 = 195.48 : x
  2. Step 2: Convert to fraction form
    230.49/317.84 = 195.48/x
  3. Step 3: Cross multiply
    230.49x = 317.84 × 195.48
  4. Step 4: Simplify right side
    230.49x = 62,130.26
  5. Step 5: Solve for x
    x = 62,130.26/230.49
  6. Step 6: Final answer
    x = 269.56

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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.