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Finding the Fourth Proportional to 281.88, 388.97 and 157.52

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Solution

The fourth proportional to 281.88, 388.97 and 157.52 is: 217.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.88 : 388.97 = 157.52 : x
  2. Step 2: Convert to fraction form
    281.88/388.97 = 157.52/x
  3. Step 3: Cross multiply
    281.88x = 388.97 × 157.52
  4. Step 4: Simplify right side
    281.88x = 61,270.55
  5. Step 5: Solve for x
    x = 61,270.55/281.88
  6. Step 6: Final answer
    x = 217.36

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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.