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Finding the Fourth Proportional to 146.57, 202.16 and 129.83

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Solution

The fourth proportional to 146.57, 202.16 and 129.83 is: 179.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.57 : 202.16 = 129.83 : x
  2. Step 2: Convert to fraction form
    146.57/202.16 = 129.83/x
  3. Step 3: Cross multiply
    146.57x = 202.16 × 129.83
  4. Step 4: Simplify right side
    146.57x = 26,244.77
  5. Step 5: Solve for x
    x = 26,244.77/146.57
  6. Step 6: Final answer
    x = 179.07

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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.