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Finding the Fourth Proportional to 238.96, 358.54 and 162.21

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Solution

The fourth proportional to 238.96, 358.54 and 162.21 is: 243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.96 : 358.54 = 162.21 : x
  2. Step 2: Convert to fraction form
    238.96/358.54 = 162.21/x
  3. Step 3: Cross multiply
    238.96x = 358.54 × 162.21
  4. Step 4: Simplify right side
    238.96x = 58,158.77
  5. Step 5: Solve for x
    x = 58,158.77/238.96
  6. Step 6: Final answer
    x = 243.38

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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.