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Finding the Fourth Proportional to 326.64, 450.78 and 186.75

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Solution

The fourth proportional to 326.64, 450.78 and 186.75 is: 257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.64 : 450.78 = 186.75 : x
  2. Step 2: Convert to fraction form
    326.64/450.78 = 186.75/x
  3. Step 3: Cross multiply
    326.64x = 450.78 × 186.75
  4. Step 4: Simplify right side
    326.64x = 84,183.17
  5. Step 5: Solve for x
    x = 84,183.17/326.64
  6. Step 6: Final answer
    x = 257.72

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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.