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Finding the Fourth Proportional to 282.16, 389.37 and 157.82

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Solution

The fourth proportional to 282.16, 389.37 and 157.82 is: 217.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.16 : 389.37 = 157.82 : x
  2. Step 2: Convert to fraction form
    282.16/389.37 = 157.82/x
  3. Step 3: Cross multiply
    282.16x = 389.37 × 157.82
  4. Step 4: Simplify right side
    282.16x = 61,450.37
  5. Step 5: Solve for x
    x = 61,450.37/282.16
  6. Step 6: Final answer
    x = 217.79

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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.