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Finding the Fourth Proportional to 146.69, 202.64 and 119.41

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Solution

The fourth proportional to 146.69, 202.64 and 119.41 is: 164.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.69 : 202.64 = 119.41 : x
  2. Step 2: Convert to fraction form
    146.69/202.64 = 119.41/x
  3. Step 3: Cross multiply
    146.69x = 202.64 × 119.41
  4. Step 4: Simplify right side
    146.69x = 24,196.14
  5. Step 5: Solve for x
    x = 24,196.14/146.69
  6. Step 6: Final answer
    x = 164.94

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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.