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Finding the Fourth Proportional to 238.05, 328.57 and 144.80

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Solution

The fourth proportional to 238.05, 328.57 and 144.80 is: 199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.05 : 328.57 = 144.80 : x
  2. Step 2: Convert to fraction form
    238.05/328.57 = 144.80/x
  3. Step 3: Cross multiply
    238.05x = 328.57 × 144.80
  4. Step 4: Simplify right side
    238.05x = 47,576.94
  5. Step 5: Solve for x
    x = 47,576.94/238.05
  6. Step 6: Final answer
    x = 199.86

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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.