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Finding the Fourth Proportional to 205.21, 283.15 and 116.68

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Solution

The fourth proportional to 205.21, 283.15 and 116.68 is: 161.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.21 : 283.15 = 116.68 : x
  2. Step 2: Convert to fraction form
    205.21/283.15 = 116.68/x
  3. Step 3: Cross multiply
    205.21x = 283.15 × 116.68
  4. Step 4: Simplify right side
    205.21x = 33,037.94
  5. Step 5: Solve for x
    x = 33,037.94/205.21
  6. Step 6: Final answer
    x = 161.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.