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Finding the Fourth Proportional to 323.53, 446.58 and 192.53

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Solution

The fourth proportional to 323.53, 446.58 and 192.53 is: 265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.53 : 446.58 = 192.53 : x
  2. Step 2: Convert to fraction form
    323.53/446.58 = 192.53/x
  3. Step 3: Cross multiply
    323.53x = 446.58 × 192.53
  4. Step 4: Simplify right side
    323.53x = 85,981.16
  5. Step 5: Solve for x
    x = 85,981.16/323.53
  6. Step 6: Final answer
    x = 265.76

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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.