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Finding the Fourth Proportional to 230.68, 317.82 and 186.94

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Solution

The fourth proportional to 230.68, 317.82 and 186.94 is: 257.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.68 : 317.82 = 186.94 : x
  2. Step 2: Convert to fraction form
    230.68/317.82 = 186.94/x
  3. Step 3: Cross multiply
    230.68x = 317.82 × 186.94
  4. Step 4: Simplify right side
    230.68x = 59,413.27
  5. Step 5: Solve for x
    x = 59,413.27/230.68
  6. Step 6: Final answer
    x = 257.56

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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.