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Finding the Fourth Proportional to 275.34, 380.04 and 182.24

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Solution

The fourth proportional to 275.34, 380.04 and 182.24 is: 251.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.34 : 380.04 = 182.24 : x
  2. Step 2: Convert to fraction form
    275.34/380.04 = 182.24/x
  3. Step 3: Cross multiply
    275.34x = 380.04 × 182.24
  4. Step 4: Simplify right side
    275.34x = 69,258.49
  5. Step 5: Solve for x
    x = 69,258.49/275.34
  6. Step 6: Final answer
    x = 251.54

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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.