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Finding the Fourth Proportional to 282.22, 389.44 and 157.88

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Solution

The fourth proportional to 282.22, 389.44 and 157.88 is: 217.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.22 : 389.44 = 157.88 : x
  2. Step 2: Convert to fraction form
    282.22/389.44 = 157.88/x
  3. Step 3: Cross multiply
    282.22x = 389.44 × 157.88
  4. Step 4: Simplify right side
    282.22x = 61,484.79
  5. Step 5: Solve for x
    x = 61,484.79/282.22
  6. Step 6: Final answer
    x = 217.86

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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.