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Finding the Fourth Proportional to 282.57, 389.97 and 166.13

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Solution

The fourth proportional to 282.57, 389.97 and 166.13 is: 229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.57 : 389.97 = 166.13 : x
  2. Step 2: Convert to fraction form
    282.57/389.97 = 166.13/x
  3. Step 3: Cross multiply
    282.57x = 389.97 × 166.13
  4. Step 4: Simplify right side
    282.57x = 64,783.77
  5. Step 5: Solve for x
    x = 64,783.77/282.57
  6. Step 6: Final answer
    x = 229.27

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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.