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Finding the Fourth Proportional to 323.53, 446.47 and 176.18

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Solution

The fourth proportional to 323.53, 446.47 and 176.18 is: 243.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.53 : 446.47 = 176.18 : x
  2. Step 2: Convert to fraction form
    323.53/446.47 = 176.18/x
  3. Step 3: Cross multiply
    323.53x = 446.47 × 176.18
  4. Step 4: Simplify right side
    323.53x = 78,657.65
  5. Step 5: Solve for x
    x = 78,657.65/323.53
  6. Step 6: Final answer
    x = 243.12

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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.