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Finding the Fourth Proportional to 146.00, 220.19 and 141.14

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Solution

The fourth proportional to 146.00, 220.19 and 141.14 is: 212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.00 : 220.19 = 141.14 : x
  2. Step 2: Convert to fraction form
    146.00/220.19 = 141.14/x
  3. Step 3: Cross multiply
    146.00x = 220.19 × 141.14
  4. Step 4: Simplify right side
    146.00x = 31,077.46
  5. Step 5: Solve for x
    x = 31,077.46/146.00
  6. Step 6: Final answer
    x = 212.86

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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.