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Finding the Fourth Proportional to 146.48, 218.60 and 134.66

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Solution

The fourth proportional to 146.48, 218.60 and 134.66 is: 200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.48 : 218.60 = 134.66 : x
  2. Step 2: Convert to fraction form
    146.48/218.60 = 134.66/x
  3. Step 3: Cross multiply
    146.48x = 218.60 × 134.66
  4. Step 4: Simplify right side
    146.48x = 29,437.05
  5. Step 5: Solve for x
    x = 29,437.05/146.48
  6. Step 6: Final answer
    x = 200.97

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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.