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Finding the Fourth Proportional to 146.98, 202.65 and 119.30

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Solution

The fourth proportional to 146.98, 202.65 and 119.30 is: 164.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.98 : 202.65 = 119.30 : x
  2. Step 2: Convert to fraction form
    146.98/202.65 = 119.30/x
  3. Step 3: Cross multiply
    146.98x = 202.65 × 119.30
  4. Step 4: Simplify right side
    146.98x = 24,176.15
  5. Step 5: Solve for x
    x = 24,176.15/146.98
  6. Step 6: Final answer
    x = 164.49

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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.