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Finding the Fourth Proportional to 238.92, 358.53 and 141.63

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Solution

The fourth proportional to 238.92, 358.53 and 141.63 is: 212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.92 : 358.53 = 141.63 : x
  2. Step 2: Convert to fraction form
    238.92/358.53 = 141.63/x
  3. Step 3: Cross multiply
    238.92x = 358.53 × 141.63
  4. Step 4: Simplify right side
    238.92x = 50,778.60
  5. Step 5: Solve for x
    x = 50,778.60/238.92
  6. Step 6: Final answer
    x = 212.53

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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.