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Finding the Fourth Proportional to 238.02, 327.96 and 160.26

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Solution

The fourth proportional to 238.02, 327.96 and 160.26 is: 220.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.02 : 327.96 = 160.26 : x
  2. Step 2: Convert to fraction form
    238.02/327.96 = 160.26/x
  3. Step 3: Cross multiply
    238.02x = 327.96 × 160.26
  4. Step 4: Simplify right side
    238.02x = 52,558.87
  5. Step 5: Solve for x
    x = 52,558.87/238.02
  6. Step 6: Final answer
    x = 220.82

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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.