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Finding the Fourth Proportional to 283.89, 391.76 and 157.85

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Solution

The fourth proportional to 283.89, 391.76 and 157.85 is: 217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.89 : 391.76 = 157.85 : x
  2. Step 2: Convert to fraction form
    283.89/391.76 = 157.85/x
  3. Step 3: Cross multiply
    283.89x = 391.76 × 157.85
  4. Step 4: Simplify right side
    283.89x = 61,837.55
  5. Step 5: Solve for x
    x = 61,837.55/283.89
  6. Step 6: Final answer
    x = 217.82

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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.