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Finding the Fourth Proportional to 326.30, 450.34 and 186.46

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Solution

The fourth proportional to 326.30, 450.34 and 186.46 is: 257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.30 : 450.34 = 186.46 : x
  2. Step 2: Convert to fraction form
    326.30/450.34 = 186.46/x
  3. Step 3: Cross multiply
    326.30x = 450.34 × 186.46
  4. Step 4: Simplify right side
    326.30x = 83,970.40
  5. Step 5: Solve for x
    x = 83,970.40/326.30
  6. Step 6: Final answer
    x = 257.34

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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.