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Finding the Fourth Proportional to 205.53, 283.64 and 118.21

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Solution

The fourth proportional to 205.53, 283.64 and 118.21 is: 163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.53 : 283.64 = 118.21 : x
  2. Step 2: Convert to fraction form
    205.53/283.64 = 118.21/x
  3. Step 3: Cross multiply
    205.53x = 283.64 × 118.21
  4. Step 4: Simplify right side
    205.53x = 33,529.08
  5. Step 5: Solve for x
    x = 33,529.08/205.53
  6. Step 6: Final answer
    x = 163.13

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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.