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Finding the Fourth Proportional to 217.70, 300.54 and 129.16

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Solution

The fourth proportional to 217.70, 300.54 and 129.16 is: 178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.70 : 300.54 = 129.16 : x
  2. Step 2: Convert to fraction form
    217.70/300.54 = 129.16/x
  3. Step 3: Cross multiply
    217.70x = 300.54 × 129.16
  4. Step 4: Simplify right side
    217.70x = 38,816.19
  5. Step 5: Solve for x
    x = 38,816.19/217.70
  6. Step 6: Final answer
    x = 178.30

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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.