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Finding the Fourth Proportional to 239.46, 330.60 and 160.89

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Solution

The fourth proportional to 239.46, 330.60 and 160.89 is: 222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.46 : 330.60 = 160.89 : x
  2. Step 2: Convert to fraction form
    239.46/330.60 = 160.89/x
  3. Step 3: Cross multiply
    239.46x = 330.60 × 160.89
  4. Step 4: Simplify right side
    239.46x = 53,190.23
  5. Step 5: Solve for x
    x = 53,190.23/239.46
  6. Step 6: Final answer
    x = 222.13

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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.