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Finding the Fourth Proportional to 162.28, 241.49 and 158.92

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Solution

The fourth proportional to 162.28, 241.49 and 158.92 is: 236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.28 : 241.49 = 158.92 : x
  2. Step 2: Convert to fraction form
    162.28/241.49 = 158.92/x
  3. Step 3: Cross multiply
    162.28x = 241.49 × 158.92
  4. Step 4: Simplify right side
    162.28x = 38,377.59
  5. Step 5: Solve for x
    x = 38,377.59/162.28
  6. Step 6: Final answer
    x = 236.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.