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Finding the Fourth Proportional to 210.37, 290.56 and 182.73

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Solution

The fourth proportional to 210.37, 290.56 and 182.73 is: 252.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.37 : 290.56 = 182.73 : x
  2. Step 2: Convert to fraction form
    210.37/290.56 = 182.73/x
  3. Step 3: Cross multiply
    210.37x = 290.56 × 182.73
  4. Step 4: Simplify right side
    210.37x = 53,094.03
  5. Step 5: Solve for x
    x = 53,094.03/210.37
  6. Step 6: Final answer
    x = 252.38

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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.