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Finding the Fourth Proportional to 286.96, 396.03 and 176.46

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Solution

The fourth proportional to 286.96, 396.03 and 176.46 is: 243.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.96 : 396.03 = 176.46 : x
  2. Step 2: Convert to fraction form
    286.96/396.03 = 176.46/x
  3. Step 3: Cross multiply
    286.96x = 396.03 × 176.46
  4. Step 4: Simplify right side
    286.96x = 69,883.45
  5. Step 5: Solve for x
    x = 69,883.45/286.96
  6. Step 6: Final answer
    x = 243.53

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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.