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Finding the Fourth Proportional to 205.93, 283.53 and 195.67

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Solution

The fourth proportional to 205.93, 283.53 and 195.67 is: 269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.93 : 283.53 = 195.67 : x
  2. Step 2: Convert to fraction form
    205.93/283.53 = 195.67/x
  3. Step 3: Cross multiply
    205.93x = 283.53 × 195.67
  4. Step 4: Simplify right side
    205.93x = 55,478.32
  5. Step 5: Solve for x
    x = 55,478.32/205.93
  6. Step 6: Final answer
    x = 269.40

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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.