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Finding the Fourth Proportional to 146.55, 201.67 and 132.75

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Solution

The fourth proportional to 146.55, 201.67 and 132.75 is: 182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.55 : 201.67 = 132.75 : x
  2. Step 2: Convert to fraction form
    146.55/201.67 = 132.75/x
  3. Step 3: Cross multiply
    146.55x = 201.67 × 132.75
  4. Step 4: Simplify right side
    146.55x = 26,771.69
  5. Step 5: Solve for x
    x = 26,771.69/146.55
  6. Step 6: Final answer
    x = 182.68

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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.