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Finding the Fourth Proportional to 146.42, 218.97 and 130.27

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Solution

The fourth proportional to 146.42, 218.97 and 130.27 is: 194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.42 : 218.97 = 130.27 : x
  2. Step 2: Convert to fraction form
    146.42/218.97 = 130.27/x
  3. Step 3: Cross multiply
    146.42x = 218.97 × 130.27
  4. Step 4: Simplify right side
    146.42x = 28,525.22
  5. Step 5: Solve for x
    x = 28,525.22/146.42
  6. Step 6: Final answer
    x = 194.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.