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Finding the Fourth Proportional to 205.46, 283.45 and 118.08

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Solution

The fourth proportional to 205.46, 283.45 and 118.08 is: 162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.46 : 283.45 = 118.08 : x
  2. Step 2: Convert to fraction form
    205.46/283.45 = 118.08/x
  3. Step 3: Cross multiply
    205.46x = 283.45 × 118.08
  4. Step 4: Simplify right side
    205.46x = 33,469.48
  5. Step 5: Solve for x
    x = 33,469.48/205.46
  6. Step 6: Final answer
    x = 162.90

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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.