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Finding the Fourth Proportional to 146.22, 202.14 and 133.92

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Solution

The fourth proportional to 146.22, 202.14 and 133.92 is: 185.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.22 : 202.14 = 133.92 : x
  2. Step 2: Convert to fraction form
    146.22/202.14 = 133.92/x
  3. Step 3: Cross multiply
    146.22x = 202.14 × 133.92
  4. Step 4: Simplify right side
    146.22x = 27,070.59
  5. Step 5: Solve for x
    x = 27,070.59/146.22
  6. Step 6: Final answer
    x = 185.14

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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.