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Finding the Fourth Proportional to 146.96, 203.58 and 141.92

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Solution

The fourth proportional to 146.96, 203.58 and 141.92 is: 196.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.96 : 203.58 = 141.92 : x
  2. Step 2: Convert to fraction form
    146.96/203.58 = 141.92/x
  3. Step 3: Cross multiply
    146.96x = 203.58 × 141.92
  4. Step 4: Simplify right side
    146.96x = 28,892.07
  5. Step 5: Solve for x
    x = 28,892.07/146.96
  6. Step 6: Final answer
    x = 196.60

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.