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Finding the Fourth Proportional to 205.50, 283.61 and 118.16

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Solution

The fourth proportional to 205.50, 283.61 and 118.16 is: 163.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.50 : 283.61 = 118.16 : x
  2. Step 2: Convert to fraction form
    205.50/283.61 = 118.16/x
  3. Step 3: Cross multiply
    205.50x = 283.61 × 118.16
  4. Step 4: Simplify right side
    205.50x = 33,510.23
  5. Step 5: Solve for x
    x = 33,510.23/205.50
  6. Step 6: Final answer
    x = 163.07

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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.