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Finding the Fourth Proportional to 239.94, 330.78 and 189.18

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Solution

The fourth proportional to 239.94, 330.78 and 189.18 is: 260.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.94 : 330.78 = 189.18 : x
  2. Step 2: Convert to fraction form
    239.94/330.78 = 189.18/x
  3. Step 3: Cross multiply
    239.94x = 330.78 × 189.18
  4. Step 4: Simplify right side
    239.94x = 62,576.96
  5. Step 5: Solve for x
    x = 62,576.96/239.94
  6. Step 6: Final answer
    x = 260.80

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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.