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Finding the Fourth Proportional to 205.58, 307.89 and 114.09

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Solution

The fourth proportional to 205.58, 307.89 and 114.09 is: 170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.58 : 307.89 = 114.09 : x
  2. Step 2: Convert to fraction form
    205.58/307.89 = 114.09/x
  3. Step 3: Cross multiply
    205.58x = 307.89 × 114.09
  4. Step 4: Simplify right side
    205.58x = 35,127.17
  5. Step 5: Solve for x
    x = 35,127.17/205.58
  6. Step 6: Final answer
    x = 170.87

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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.