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Finding the Fourth Proportional to 205.90, 283.93 and 162.22

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Solution

The fourth proportional to 205.90, 283.93 and 162.22 is: 223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.90 : 283.93 = 162.22 : x
  2. Step 2: Convert to fraction form
    205.90/283.93 = 162.22/x
  3. Step 3: Cross multiply
    205.90x = 283.93 × 162.22
  4. Step 4: Simplify right side
    205.90x = 46,059.12
  5. Step 5: Solve for x
    x = 46,059.12/205.90
  6. Step 6: Final answer
    x = 223.70

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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.