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Finding the Fourth Proportional to 285.44, 393.80 and 180.49

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Solution

The fourth proportional to 285.44, 393.80 and 180.49 is: 249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.44 : 393.80 = 180.49 : x
  2. Step 2: Convert to fraction form
    285.44/393.80 = 180.49/x
  3. Step 3: Cross multiply
    285.44x = 393.80 × 180.49
  4. Step 4: Simplify right side
    285.44x = 71,077.91
  5. Step 5: Solve for x
    x = 71,077.91/285.44
  6. Step 6: Final answer
    x = 249.01

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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.