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Finding the Fourth Proportional to 146.37, 218.52 and 143.54

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Solution

The fourth proportional to 146.37, 218.52 and 143.54 is: 214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.37 : 218.52 = 143.54 : x
  2. Step 2: Convert to fraction form
    146.37/218.52 = 143.54/x
  3. Step 3: Cross multiply
    146.37x = 218.52 × 143.54
  4. Step 4: Simplify right side
    146.37x = 31,366.36
  5. Step 5: Solve for x
    x = 31,366.36/146.37
  6. Step 6: Final answer
    x = 214.30

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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.