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Finding the Fourth Proportional to 326.13, 450.02 and 186.23

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Solution

The fourth proportional to 326.13, 450.02 and 186.23 is: 256.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.13 : 450.02 = 186.23 : x
  2. Step 2: Convert to fraction form
    326.13/450.02 = 186.23/x
  3. Step 3: Cross multiply
    326.13x = 450.02 × 186.23
  4. Step 4: Simplify right side
    326.13x = 83,804.04
  5. Step 5: Solve for x
    x = 83,804.04/326.13
  6. Step 6: Final answer
    x = 256.97

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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.