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Finding the Fourth Proportional to 326.23, 450.23 and 186.35

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Solution

The fourth proportional to 326.23, 450.23 and 186.35 is: 257.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.23 : 450.23 = 186.35 : x
  2. Step 2: Convert to fraction form
    326.23/450.23 = 186.35/x
  3. Step 3: Cross multiply
    326.23x = 450.23 × 186.35
  4. Step 4: Simplify right side
    326.23x = 83,900.36
  5. Step 5: Solve for x
    x = 83,900.36/326.23
  6. Step 6: Final answer
    x = 257.18

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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.