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Finding the Fourth Proportional to 205.08, 307.42 and 189.56

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Solution

The fourth proportional to 205.08, 307.42 and 189.56 is: 284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.08 : 307.42 = 189.56 : x
  2. Step 2: Convert to fraction form
    205.08/307.42 = 189.56/x
  3. Step 3: Cross multiply
    205.08x = 307.42 × 189.56
  4. Step 4: Simplify right side
    205.08x = 58,274.54
  5. Step 5: Solve for x
    x = 58,274.54/205.08
  6. Step 6: Final answer
    x = 284.16

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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.