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Finding the Fourth Proportional to 275.78, 380.58 and 182.48

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Solution

The fourth proportional to 275.78, 380.58 and 182.48 is: 251.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.78 : 380.58 = 182.48 : x
  2. Step 2: Convert to fraction form
    275.78/380.58 = 182.48/x
  3. Step 3: Cross multiply
    275.78x = 380.58 × 182.48
  4. Step 4: Simplify right side
    275.78x = 69,448.24
  5. Step 5: Solve for x
    x = 69,448.24/275.78
  6. Step 6: Final answer
    x = 251.82

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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.