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Finding the Fourth Proportional to 281.77, 388.84 and 157.43

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Solution

The fourth proportional to 281.77, 388.84 and 157.43 is: 217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.77 : 388.84 = 157.43 : x
  2. Step 2: Convert to fraction form
    281.77/388.84 = 157.43/x
  3. Step 3: Cross multiply
    281.77x = 388.84 × 157.43
  4. Step 4: Simplify right side
    281.77x = 61,215.08
  5. Step 5: Solve for x
    x = 61,215.08/281.77
  6. Step 6: Final answer
    x = 217.25

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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.