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Finding the Fourth Proportional to 146.10, 201.24 and 137.64

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Solution

The fourth proportional to 146.10, 201.24 and 137.64 is: 189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.10 : 201.24 = 137.64 : x
  2. Step 2: Convert to fraction form
    146.10/201.24 = 137.64/x
  3. Step 3: Cross multiply
    146.10x = 201.24 × 137.64
  4. Step 4: Simplify right side
    146.10x = 27,698.67
  5. Step 5: Solve for x
    x = 27,698.67/146.10
  6. Step 6: Final answer
    x = 189.59

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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.