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Finding the Fourth Proportional to 326.69, 450.70 and 186.78

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Solution

The fourth proportional to 326.69, 450.70 and 186.78 is: 257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.69 : 450.70 = 186.78 : x
  2. Step 2: Convert to fraction form
    326.69/450.70 = 186.78/x
  3. Step 3: Cross multiply
    326.69x = 450.70 × 186.78
  4. Step 4: Simplify right side
    326.69x = 84,181.75
  5. Step 5: Solve for x
    x = 84,181.75/326.69
  6. Step 6: Final answer
    x = 257.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.