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Finding the Fourth Proportional to 284, 391.96 and 180.72

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Solution

The fourth proportional to 284, 391.96 and 180.72 is: 249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284 : 391.96 = 180.72 : x
  2. Step 2: Convert to fraction form
    284/391.96 = 180.72/x
  3. Step 3: Cross multiply
    284x = 391.96 × 180.72
  4. Step 4: Simplify right side
    284x = 70,835.01
  5. Step 5: Solve for x
    x = 70,835.01/284
  6. Step 6: Final answer
    x = 249.42

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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.