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Finding the Fourth Proportional to 146.19, 217.46 and 144.72

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Solution

The fourth proportional to 146.19, 217.46 and 144.72 is: 215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.19 : 217.46 = 144.72 : x
  2. Step 2: Convert to fraction form
    146.19/217.46 = 144.72/x
  3. Step 3: Cross multiply
    146.19x = 217.46 × 144.72
  4. Step 4: Simplify right side
    146.19x = 31,470.81
  5. Step 5: Solve for x
    x = 31,470.81/146.19
  6. Step 6: Final answer
    x = 215.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.