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Finding the Fourth Proportional to 283.78, 391.74 and 180.28

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Solution

The fourth proportional to 283.78, 391.74 and 180.28 is: 248.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.78 : 391.74 = 180.28 : x
  2. Step 2: Convert to fraction form
    283.78/391.74 = 180.28/x
  3. Step 3: Cross multiply
    283.78x = 391.74 × 180.28
  4. Step 4: Simplify right side
    283.78x = 70,622.89
  5. Step 5: Solve for x
    x = 70,622.89/283.78
  6. Step 6: Final answer
    x = 248.86

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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.