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Finding the Fourth Proportional to 232.06, 349.38 and 160.40

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Solution

The fourth proportional to 232.06, 349.38 and 160.40 is: 241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.06 : 349.38 = 160.40 : x
  2. Step 2: Convert to fraction form
    232.06/349.38 = 160.40/x
  3. Step 3: Cross multiply
    232.06x = 349.38 × 160.40
  4. Step 4: Simplify right side
    232.06x = 56,040.55
  5. Step 5: Solve for x
    x = 56,040.55/232.06
  6. Step 6: Final answer
    x = 241.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.