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Finding the Fourth Proportional to 205.57, 283.65 and 118.22

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Solution

The fourth proportional to 205.57, 283.65 and 118.22 is: 163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.57 : 283.65 = 118.22 : x
  2. Step 2: Convert to fraction form
    205.57/283.65 = 118.22/x
  3. Step 3: Cross multiply
    205.57x = 283.65 × 118.22
  4. Step 4: Simplify right side
    205.57x = 33,533.10
  5. Step 5: Solve for x
    x = 33,533.10/205.57
  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.