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Finding the Fourth Proportional to 205.41, 283.40 and 146.64

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Solution

The fourth proportional to 205.41, 283.40 and 146.64 is: 202.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.41 : 283.40 = 146.64 : x
  2. Step 2: Convert to fraction form
    205.41/283.40 = 146.64/x
  3. Step 3: Cross multiply
    205.41x = 283.40 × 146.64
  4. Step 4: Simplify right side
    205.41x = 41,556.26
  5. Step 5: Solve for x
    x = 41,556.26/205.41
  6. Step 6: Final answer
    x = 202.31

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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.