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Finding the Fourth Proportional to 323.51, 446.43 and 176.14

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Solution

The fourth proportional to 323.51, 446.43 and 176.14 is: 243.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.51 : 446.43 = 176.14 : x
  2. Step 2: Convert to fraction form
    323.51/446.43 = 176.14/x
  3. Step 3: Cross multiply
    323.51x = 446.43 × 176.14
  4. Step 4: Simplify right side
    323.51x = 78,633.06
  5. Step 5: Solve for x
    x = 78,633.06/323.51
  6. Step 6: Final answer
    x = 243.06

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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.