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Finding the Fourth Proportional to 285.85, 428.51 and 112.67

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Solution

The fourth proportional to 285.85, 428.51 and 112.67 is: 168.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.85 : 428.51 = 112.67 : x
  2. Step 2: Convert to fraction form
    285.85/428.51 = 112.67/x
  3. Step 3: Cross multiply
    285.85x = 428.51 × 112.67
  4. Step 4: Simplify right side
    285.85x = 48,278.08
  5. Step 5: Solve for x
    x = 48,278.08/285.85
  6. Step 6: Final answer
    x = 168.90

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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.