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Finding the Fourth Proportional to 285.50, 427.41 and 193.58

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Solution

The fourth proportional to 285.50, 427.41 and 193.58 is: 289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.50 : 427.41 = 193.58 : x
  2. Step 2: Convert to fraction form
    285.50/427.41 = 193.58/x
  3. Step 3: Cross multiply
    285.50x = 427.41 × 193.58
  4. Step 4: Simplify right side
    285.50x = 82,738.03
  5. Step 5: Solve for x
    x = 82,738.03/285.50
  6. Step 6: Final answer
    x = 289.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.