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Finding the Fourth Proportional to 283.66, 391.71 and 180.34

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Solution

The fourth proportional to 283.66, 391.71 and 180.34 is: 249.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.66 : 391.71 = 180.34 : x
  2. Step 2: Convert to fraction form
    283.66/391.71 = 180.34/x
  3. Step 3: Cross multiply
    283.66x = 391.71 × 180.34
  4. Step 4: Simplify right side
    283.66x = 70,640.98
  5. Step 5: Solve for x
    x = 70,640.98/283.66
  6. Step 6: Final answer
    x = 249.03

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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.