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Finding the Fourth Proportional to 146.69, 202.06 and 137.12

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Solution

The fourth proportional to 146.69, 202.06 and 137.12 is: 188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.69 : 202.06 = 137.12 : x
  2. Step 2: Convert to fraction form
    146.69/202.06 = 137.12/x
  3. Step 3: Cross multiply
    146.69x = 202.06 × 137.12
  4. Step 4: Simplify right side
    146.69x = 27,706.63
  5. Step 5: Solve for x
    x = 27,706.63/146.69
  6. Step 6: Final answer
    x = 188.88

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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.