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Finding the Fourth Proportional to 230.80, 317.56 and 199.61

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Solution

The fourth proportional to 230.80, 317.56 and 199.61 is: 274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.80 : 317.56 = 199.61 : x
  2. Step 2: Convert to fraction form
    230.80/317.56 = 199.61/x
  3. Step 3: Cross multiply
    230.80x = 317.56 × 199.61
  4. Step 4: Simplify right side
    230.80x = 63,388.45
  5. Step 5: Solve for x
    x = 63,388.45/230.80
  6. Step 6: Final answer
    x = 274.65

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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.