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Finding the Fourth Proportional to 205.41, 307.55 and 113.94

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Solution

The fourth proportional to 205.41, 307.55 and 113.94 is: 170.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.41 : 307.55 = 113.94 : x
  2. Step 2: Convert to fraction form
    205.41/307.55 = 113.94/x
  3. Step 3: Cross multiply
    205.41x = 307.55 × 113.94
  4. Step 4: Simplify right side
    205.41x = 35,043.19
  5. Step 5: Solve for x
    x = 35,043.19/205.41
  6. Step 6: Final answer
    x = 170.60

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