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Finding the Fourth Proportional to 282.12, 389.33 and 157.77

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Solution

The fourth proportional to 282.12, 389.33 and 157.77 is: 217.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.12 : 389.33 = 157.77 : x
  2. Step 2: Convert to fraction form
    282.12/389.33 = 157.77/x
  3. Step 3: Cross multiply
    282.12x = 389.33 × 157.77
  4. Step 4: Simplify right side
    282.12x = 61,424.59
  5. Step 5: Solve for x
    x = 61,424.59/282.12
  6. Step 6: Final answer
    x = 217.73

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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.