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Finding the Fourth Proportional to 238.14, 328.46 and 175.77

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Solution

The fourth proportional to 238.14, 328.46 and 175.77 is: 242.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.14 : 328.46 = 175.77 : x
  2. Step 2: Convert to fraction form
    238.14/328.46 = 175.77/x
  3. Step 3: Cross multiply
    238.14x = 328.46 × 175.77
  4. Step 4: Simplify right side
    238.14x = 57,732.54
  5. Step 5: Solve for x
    x = 57,732.54/238.14
  6. Step 6: Final answer
    x = 242.43

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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.