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Finding the Fourth Proportional to 148.24, 204.82 and 129.79

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Solution

The fourth proportional to 148.24, 204.82 and 129.79 is: 179.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.24 : 204.82 = 129.79 : x
  2. Step 2: Convert to fraction form
    148.24/204.82 = 129.79/x
  3. Step 3: Cross multiply
    148.24x = 204.82 × 129.79
  4. Step 4: Simplify right side
    148.24x = 26,583.59
  5. Step 5: Solve for x
    x = 26,583.59/148.24
  6. Step 6: Final answer
    x = 179.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.