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Finding the Fourth Proportional to 282.07, 389.27 and 157.73

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Solution

The fourth proportional to 282.07, 389.27 and 157.73 is: 217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.07 : 389.27 = 157.73 : x
  2. Step 2: Convert to fraction form
    282.07/389.27 = 157.73/x
  3. Step 3: Cross multiply
    282.07x = 389.27 × 157.73
  4. Step 4: Simplify right side
    282.07x = 61,398.77
  5. Step 5: Solve for x
    x = 61,398.77/282.07
  6. Step 6: Final answer
    x = 217.68

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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.