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Finding the Fourth Proportional to 285.96, 428.92 and 141.68

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Solution

The fourth proportional to 285.96, 428.92 and 141.68 is: 212.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.96 : 428.92 = 141.68 : x
  2. Step 2: Convert to fraction form
    285.96/428.92 = 141.68/x
  3. Step 3: Cross multiply
    285.96x = 428.92 × 141.68
  4. Step 4: Simplify right side
    285.96x = 60,769.39
  5. Step 5: Solve for x
    x = 60,769.39/285.96
  6. Step 6: Final answer
    x = 212.51

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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.