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Finding the Fourth Proportional to 217.58, 300.23 and 129.10

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Solution

The fourth proportional to 217.58, 300.23 and 129.10 is: 178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.58 : 300.23 = 129.10 : x
  2. Step 2: Convert to fraction form
    217.58/300.23 = 129.10/x
  3. Step 3: Cross multiply
    217.58x = 300.23 × 129.10
  4. Step 4: Simplify right side
    217.58x = 38,759.69
  5. Step 5: Solve for x
    x = 38,759.69/217.58
  6. Step 6: Final answer
    x = 178.14

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Why These Related Problems?

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