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Finding the Fourth Proportional to 281.90, 389.00 and 157.56

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Solution

The fourth proportional to 281.90, 389.00 and 157.56 is: 217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.90 : 389.00 = 157.56 : x
  2. Step 2: Convert to fraction form
    281.90/389.00 = 157.56/x
  3. Step 3: Cross multiply
    281.90x = 389.00 × 157.56
  4. Step 4: Simplify right side
    281.90x = 61,291.96
  5. Step 5: Solve for x
    x = 61,291.96/281.90
  6. Step 6: Final answer
    x = 217.43

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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.