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Finding the Fourth Proportional to 237.13, 327.26 and 132.23

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Solution

The fourth proportional to 237.13, 327.26 and 132.23 is: 182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.13 : 327.26 = 132.23 : x
  2. Step 2: Convert to fraction form
    237.13/327.26 = 132.23/x
  3. Step 3: Cross multiply
    237.13x = 327.26 × 132.23
  4. Step 4: Simplify right side
    237.13x = 43,274.74
  5. Step 5: Solve for x
    x = 43,274.74/237.13
  6. Step 6: Final answer
    x = 182.50

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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.