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Finding the Fourth Proportional to 238.72, 358.16 and 130.48

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Solution

The fourth proportional to 238.72, 358.16 and 130.48 is: 195.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.72 : 358.16 = 130.48 : x
  2. Step 2: Convert to fraction form
    238.72/358.16 = 130.48/x
  3. Step 3: Cross multiply
    238.72x = 358.16 × 130.48
  4. Step 4: Simplify right side
    238.72x = 46,732.72
  5. Step 5: Solve for x
    x = 46,732.72/238.72
  6. Step 6: Final answer
    x = 195.76

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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.