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Finding the Fourth Proportional to 284, 391.92 and 180.48

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Solution

The fourth proportional to 284, 391.92 and 180.48 is: 249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284 : 391.92 = 180.48 : x
  2. Step 2: Convert to fraction form
    284/391.92 = 180.48/x
  3. Step 3: Cross multiply
    284x = 391.92 × 180.48
  4. Step 4: Simplify right side
    284x = 70,733.72
  5. Step 5: Solve for x
    x = 70,733.72/284
  6. Step 6: Final answer
    x = 249.06

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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.