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Finding the Fourth Proportional to 286.83, 396.03 and 176.34

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Solution

The fourth proportional to 286.83, 396.03 and 176.34 is: 243.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.83 : 396.03 = 176.34 : x
  2. Step 2: Convert to fraction form
    286.83/396.03 = 176.34/x
  3. Step 3: Cross multiply
    286.83x = 396.03 × 176.34
  4. Step 4: Simplify right side
    286.83x = 69,835.93
  5. Step 5: Solve for x
    x = 69,835.93/286.83
  6. Step 6: Final answer
    x = 243.47

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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.