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Finding the Fourth Proportional to 238.57, 358.01 and 130.43

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Solution

The fourth proportional to 238.57, 358.01 and 130.43 is: 195.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.57 : 358.01 = 130.43 : x
  2. Step 2: Convert to fraction form
    238.57/358.01 = 130.43/x
  3. Step 3: Cross multiply
    238.57x = 358.01 × 130.43
  4. Step 4: Simplify right side
    238.57x = 46,695.24
  5. Step 5: Solve for x
    x = 46,695.24/238.57
  6. Step 6: Final answer
    x = 195.73

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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.