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Finding the Fourth Proportional to 230.94, 317.70 and 199.62

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Solution

The fourth proportional to 230.94, 317.70 and 199.62 is: 274.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.94 : 317.70 = 199.62 : x
  2. Step 2: Convert to fraction form
    230.94/317.70 = 199.62/x
  3. Step 3: Cross multiply
    230.94x = 317.70 × 199.62
  4. Step 4: Simplify right side
    230.94x = 63,419.27
  5. Step 5: Solve for x
    x = 63,419.27/230.94
  6. Step 6: Final answer
    x = 274.61

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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.