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Finding the Fourth Proportional to 281.37, 388.29 and 157.04

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Solution

The fourth proportional to 281.37, 388.29 and 157.04 is: 216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.37 : 388.29 = 157.04 : x
  2. Step 2: Convert to fraction form
    281.37/388.29 = 157.04/x
  3. Step 3: Cross multiply
    281.37x = 388.29 × 157.04
  4. Step 4: Simplify right side
    281.37x = 60,977.06
  5. Step 5: Solve for x
    x = 60,977.06/281.37
  6. Step 6: Final answer
    x = 216.71

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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.