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Finding the Fourth Proportional to 281.65, 388.83 and 216.28

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Solution

The fourth proportional to 281.65, 388.83 and 216.28 is: 298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.65 : 388.83 = 216.28 : x
  2. Step 2: Convert to fraction form
    281.65/388.83 = 216.28/x
  3. Step 3: Cross multiply
    281.65x = 388.83 × 216.28
  4. Step 4: Simplify right side
    281.65x = 84,096.15
  5. Step 5: Solve for x
    x = 84,096.15/281.65
  6. Step 6: Final answer
    x = 298.58

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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.