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Finding the Fourth Proportional to 281.69, 388.64 and 157.31

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Solution

The fourth proportional to 281.69, 388.64 and 157.31 is: 217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.69 : 388.64 = 157.31 : x
  2. Step 2: Convert to fraction form
    281.69/388.64 = 157.31/x
  3. Step 3: Cross multiply
    281.69x = 388.64 × 157.31
  4. Step 4: Simplify right side
    281.69x = 61,138.32
  5. Step 5: Solve for x
    x = 61,138.32/281.69
  6. Step 6: Final answer
    x = 217.05

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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.