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Finding the Fourth Proportional to 281.42, 388.37 and 157.08

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Solution

The fourth proportional to 281.42, 388.37 and 157.08 is: 216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.42 : 388.37 = 157.08 : x
  2. Step 2: Convert to fraction form
    281.42/388.37 = 157.08/x
  3. Step 3: Cross multiply
    281.42x = 388.37 × 157.08
  4. Step 4: Simplify right side
    281.42x = 61,004.37
  5. Step 5: Solve for x
    x = 61,004.37/281.42
  6. Step 6: Final answer
    x = 216.78

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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.