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Finding the Fourth Proportional to 238.14, 357.51 and 161.29

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Solution

The fourth proportional to 238.14, 357.51 and 161.29 is: 242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.14 : 357.51 = 161.29 : x
  2. Step 2: Convert to fraction form
    238.14/357.51 = 161.29/x
  3. Step 3: Cross multiply
    238.14x = 357.51 × 161.29
  4. Step 4: Simplify right side
    238.14x = 57,663.84
  5. Step 5: Solve for x
    x = 57,663.84/238.14
  6. Step 6: Final answer
    x = 242.14

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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.