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Finding the Fourth Proportional to 205.53, 283.44 and 158.84

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Solution

The fourth proportional to 205.53, 283.44 and 158.84 is: 219.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.53 : 283.44 = 158.84 : x
  2. Step 2: Convert to fraction form
    205.53/283.44 = 158.84/x
  3. Step 3: Cross multiply
    205.53x = 283.44 × 158.84
  4. Step 4: Simplify right side
    205.53x = 45,020.19
  5. Step 5: Solve for x
    x = 45,020.19/205.53
  6. Step 6: Final answer
    x = 219.04

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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.