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Finding the Fourth Proportional to 146.86, 201.70 and 137.82

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Solution

The fourth proportional to 146.86, 201.70 and 137.82 is: 189.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.86 : 201.70 = 137.82 : x
  2. Step 2: Convert to fraction form
    146.86/201.70 = 137.82/x
  3. Step 3: Cross multiply
    146.86x = 201.70 × 137.82
  4. Step 4: Simplify right side
    146.86x = 27,798.29
  5. Step 5: Solve for x
    x = 27,798.29/146.86
  6. Step 6: Final answer
    x = 189.29

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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.