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Finding the Fourth Proportional to 285.34, 428.34 and 192.88

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Solution

The fourth proportional to 285.34, 428.34 and 192.88 is: 289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.34 : 428.34 = 192.88 : x
  2. Step 2: Convert to fraction form
    285.34/428.34 = 192.88/x
  3. Step 3: Cross multiply
    285.34x = 428.34 × 192.88
  4. Step 4: Simplify right side
    285.34x = 82,618.22
  5. Step 5: Solve for x
    x = 82,618.22/285.34
  6. Step 6: Final answer
    x = 289.54

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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.