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Finding the Fourth Proportional to 146.40, 201.85 and 137.49

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Solution

The fourth proportional to 146.40, 201.85 and 137.49 is: 189.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.40 : 201.85 = 137.49 : x
  2. Step 2: Convert to fraction form
    146.40/201.85 = 137.49/x
  3. Step 3: Cross multiply
    146.40x = 201.85 × 137.49
  4. Step 4: Simplify right side
    146.40x = 27,752.36
  5. Step 5: Solve for x
    x = 27,752.36/146.40
  6. Step 6: Final answer
    x = 189.57

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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.