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Finding the Fourth Proportional to 281.98, 389.12 and 157.64

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Solution

The fourth proportional to 281.98, 389.12 and 157.64 is: 217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.98 : 389.12 = 157.64 : x
  2. Step 2: Convert to fraction form
    281.98/389.12 = 157.64/x
  3. Step 3: Cross multiply
    281.98x = 389.12 × 157.64
  4. Step 4: Simplify right side
    281.98x = 61,340.88
  5. Step 5: Solve for x
    x = 61,340.88/281.98
  6. Step 6: Final answer
    x = 217.54

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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.