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Finding the Fourth Proportional to 237.10, 327.18 and 132.18

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Solution

The fourth proportional to 237.10, 327.18 and 132.18 is: 182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.10 : 327.18 = 132.18 : x
  2. Step 2: Convert to fraction form
    237.10/327.18 = 132.18/x
  3. Step 3: Cross multiply
    237.10x = 327.18 × 132.18
  4. Step 4: Simplify right side
    237.10x = 43,245.02
  5. Step 5: Solve for x
    x = 43,245.02/237.10
  6. Step 6: Final answer
    x = 182.40

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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.