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Finding the Fourth Proportional to 146.94, 202.97 and 129.52

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Solution

The fourth proportional to 146.94, 202.97 and 129.52 is: 178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.94 : 202.97 = 129.52 : x
  2. Step 2: Convert to fraction form
    146.94/202.97 = 129.52/x
  3. Step 3: Cross multiply
    146.94x = 202.97 × 129.52
  4. Step 4: Simplify right side
    146.94x = 26,287.52
  5. Step 5: Solve for x
    x = 26,287.52/146.94
  6. Step 6: Final answer
    x = 178.90

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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.