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Finding the Fourth Proportional to 205.36, 282.80 and 164.08

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Solution

The fourth proportional to 205.36, 282.80 and 164.08 is: 225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.36 : 282.80 = 164.08 : x
  2. Step 2: Convert to fraction form
    205.36/282.80 = 164.08/x
  3. Step 3: Cross multiply
    205.36x = 282.80 × 164.08
  4. Step 4: Simplify right side
    205.36x = 46,401.82
  5. Step 5: Solve for x
    x = 46,401.82/205.36
  6. Step 6: Final answer
    x = 225.95

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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.