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Finding the Fourth Proportional to 238.91, 358.47 and 129.09

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Solution

The fourth proportional to 238.91, 358.47 and 129.09 is: 193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.91 : 358.47 = 129.09 : x
  2. Step 2: Convert to fraction form
    238.91/358.47 = 129.09/x
  3. Step 3: Cross multiply
    238.91x = 358.47 × 129.09
  4. Step 4: Simplify right side
    238.91x = 46,274.25
  5. Step 5: Solve for x
    x = 46,274.25/238.91
  6. Step 6: Final answer
    x = 193.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.