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Finding the Fourth Proportional to 146.45, 202.20 and 134.12

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Solution

The fourth proportional to 146.45, 202.20 and 134.12 is: 185.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.45 : 202.20 = 134.12 : x
  2. Step 2: Convert to fraction form
    146.45/202.20 = 134.12/x
  3. Step 3: Cross multiply
    146.45x = 202.20 × 134.12
  4. Step 4: Simplify right side
    146.45x = 27,119.06
  5. Step 5: Solve for x
    x = 27,119.06/146.45
  6. Step 6: Final answer
    x = 185.18

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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.