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Finding the Fourth Proportional to 146.32, 218.67 and 128.10

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Solution

The fourth proportional to 146.32, 218.67 and 128.10 is: 191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.32 : 218.67 = 128.10 : x
  2. Step 2: Convert to fraction form
    146.32/218.67 = 128.10/x
  3. Step 3: Cross multiply
    146.32x = 218.67 × 128.10
  4. Step 4: Simplify right side
    146.32x = 28,010.21
  5. Step 5: Solve for x
    x = 28,010.21/146.32
  6. Step 6: Final answer
    x = 191.43

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