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Finding the Fourth Proportional to 205.70, 308.34 and 114.35

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Solution

The fourth proportional to 205.70, 308.34 and 114.35 is: 171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.70 : 308.34 = 114.35 : x
  2. Step 2: Convert to fraction form
    205.70/308.34 = 114.35/x
  3. Step 3: Cross multiply
    205.70x = 308.34 × 114.35
  4. Step 4: Simplify right side
    205.70x = 35,257.14
  5. Step 5: Solve for x
    x = 35,257.14/205.70
  6. Step 6: Final answer
    x = 171.40

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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.