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Finding the Fourth Proportional to 282.12, 389.32 and 164.04

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Solution

The fourth proportional to 282.12, 389.32 and 164.04 is: 226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.12 : 389.32 = 164.04 : x
  2. Step 2: Convert to fraction form
    282.12/389.32 = 164.04/x
  3. Step 3: Cross multiply
    282.12x = 389.32 × 164.04
  4. Step 4: Simplify right side
    282.12x = 63,864.05
  5. Step 5: Solve for x
    x = 63,864.05/282.12
  6. Step 6: Final answer
    x = 226.37

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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.