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Finding the Fourth Proportional to 146.21, 220.61 and 140.58

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Solution

The fourth proportional to 146.21, 220.61 and 140.58 is: 212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.21 : 220.61 = 140.58 : x
  2. Step 2: Convert to fraction form
    146.21/220.61 = 140.58/x
  3. Step 3: Cross multiply
    146.21x = 220.61 × 140.58
  4. Step 4: Simplify right side
    146.21x = 31,013.71
  5. Step 5: Solve for x
    x = 31,013.71/146.21
  6. Step 6: Final answer
    x = 212.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.