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Finding the Fourth Proportional to 205.48, 283.71 and 164.26

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Solution

The fourth proportional to 205.48, 283.71 and 164.26 is: 226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.48 : 283.71 = 164.26 : x
  2. Step 2: Convert to fraction form
    205.48/283.71 = 164.26/x
  3. Step 3: Cross multiply
    205.48x = 283.71 × 164.26
  4. Step 4: Simplify right side
    205.48x = 46,602.20
  5. Step 5: Solve for x
    x = 46,602.20/205.48
  6. Step 6: Final answer
    x = 226.80

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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.