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Finding the Fourth Proportional to 205.56, 307.98 and 144.41

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Solution

The fourth proportional to 205.56, 307.98 and 144.41 is: 216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.56 : 307.98 = 144.41 : x
  2. Step 2: Convert to fraction form
    205.56/307.98 = 144.41/x
  3. Step 3: Cross multiply
    205.56x = 307.98 × 144.41
  4. Step 4: Simplify right side
    205.56x = 44,473.85
  5. Step 5: Solve for x
    x = 44,473.85/205.56
  6. Step 6: Final answer
    x = 216.35

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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.