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Finding the Fourth Proportional to 793.30, 1,189.78 and 238.02

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Solution

The fourth proportional to 793.30, 1,189.78 and 238.02 is: 356.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.30 : 1,189.78 = 238.02 : x
  2. Step 2: Convert to fraction form
    793.30/1,189.78 = 238.02/x
  3. Step 3: Cross multiply
    793.30x = 1,189.78 × 238.02
  4. Step 4: Simplify right side
    793.30x = 283,192.03
  5. Step 5: Solve for x
    x = 283,192.03/793.30
  6. Step 6: Final answer
    x = 356.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.