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Finding the Fourth Proportional to 205.36, 308.12 and 114.16

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Solution

The fourth proportional to 205.36, 308.12 and 114.16 is: 171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.36 : 308.12 = 114.16 : x
  2. Step 2: Convert to fraction form
    205.36/308.12 = 114.16/x
  3. Step 3: Cross multiply
    205.36x = 308.12 × 114.16
  4. Step 4: Simplify right side
    205.36x = 35,174.98
  5. Step 5: Solve for x
    x = 35,174.98/205.36
  6. Step 6: Final answer
    x = 171.28

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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.