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Finding the Fourth Proportional to 281.65, 388.54 and 183.37

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Solution

The fourth proportional to 281.65, 388.54 and 183.37 is: 252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.65 : 388.54 = 183.37 : x
  2. Step 2: Convert to fraction form
    281.65/388.54 = 183.37/x
  3. Step 3: Cross multiply
    281.65x = 388.54 × 183.37
  4. Step 4: Simplify right side
    281.65x = 71,245.84
  5. Step 5: Solve for x
    x = 71,245.84/281.65
  6. Step 6: Final answer
    x = 252.96

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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.