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Finding the Fourth Proportional to 217.81, 300.59 and 129.34

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Solution

The fourth proportional to 217.81, 300.59 and 129.34 is: 178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.81 : 300.59 = 129.34 : x
  2. Step 2: Convert to fraction form
    217.81/300.59 = 129.34/x
  3. Step 3: Cross multiply
    217.81x = 300.59 × 129.34
  4. Step 4: Simplify right side
    217.81x = 38,878.31
  5. Step 5: Solve for x
    x = 38,878.31/217.81
  6. Step 6: Final answer
    x = 178.50

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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.