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Finding the Fourth Proportional to 146.37, 200.88 and 132.53

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Solution

The fourth proportional to 146.37, 200.88 and 132.53 is: 181.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.37 : 200.88 = 132.53 : x
  2. Step 2: Convert to fraction form
    146.37/200.88 = 132.53/x
  3. Step 3: Cross multiply
    146.37x = 200.88 × 132.53
  4. Step 4: Simplify right side
    146.37x = 26,622.62
  5. Step 5: Solve for x
    x = 26,622.62/146.37
  6. Step 6: Final answer
    x = 181.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.