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Finding the Fourth Proportional to 205.41, 308.08 and 83.64

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Solution

The fourth proportional to 205.41, 308.08 and 83.64 is: 125.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.41 : 308.08 = 83.64 : x
  2. Step 2: Convert to fraction form
    205.41/308.08 = 83.64/x
  3. Step 3: Cross multiply
    205.41x = 308.08 × 83.64
  4. Step 4: Simplify right side
    205.41x = 25,767.81
  5. Step 5: Solve for x
    x = 25,767.81/205.41
  6. Step 6: Final answer
    x = 125.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.