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Finding the Fourth Proportional to 146.36, 202.17 and 132.71

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Solution

The fourth proportional to 146.36, 202.17 and 132.71 is: 183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.36 : 202.17 = 132.71 : x
  2. Step 2: Convert to fraction form
    146.36/202.17 = 132.71/x
  3. Step 3: Cross multiply
    146.36x = 202.17 × 132.71
  4. Step 4: Simplify right side
    146.36x = 26,828.97
  5. Step 5: Solve for x
    x = 26,828.97/146.36
  6. Step 6: Final answer
    x = 183.31

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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.