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Finding the Fourth Proportional to 237.40, 327.16 and 182.28

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Solution

The fourth proportional to 237.40, 327.16 and 182.28 is: 251.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.40 : 327.16 = 182.28 : x
  2. Step 2: Convert to fraction form
    237.40/327.16 = 182.28/x
  3. Step 3: Cross multiply
    237.40x = 327.16 × 182.28
  4. Step 4: Simplify right side
    237.40x = 59,634.72
  5. Step 5: Solve for x
    x = 59,634.72/237.40
  6. Step 6: Final answer
    x = 251.20

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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.