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Finding the Fourth Proportional to 327.16, 451.33 and 187.23

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Solution

The fourth proportional to 327.16, 451.33 and 187.23 is: 258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.16 : 451.33 = 187.23 : x
  2. Step 2: Convert to fraction form
    327.16/451.33 = 187.23/x
  3. Step 3: Cross multiply
    327.16x = 451.33 × 187.23
  4. Step 4: Simplify right side
    327.16x = 84,502.52
  5. Step 5: Solve for x
    x = 84,502.52/327.16
  6. Step 6: Final answer
    x = 258.29

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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.