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Finding the Fourth Proportional to 281.91, 389.06 and 157.58

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Solution

The fourth proportional to 281.91, 389.06 and 157.58 is: 217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.91 : 389.06 = 157.58 : x
  2. Step 2: Convert to fraction form
    281.91/389.06 = 157.58/x
  3. Step 3: Cross multiply
    281.91x = 389.06 × 157.58
  4. Step 4: Simplify right side
    281.91x = 61,308.85
  5. Step 5: Solve for x
    x = 61,308.85/281.91
  6. Step 6: Final answer
    x = 217.47

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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.