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Finding the Fourth Proportional to 161.92, 241.28 and 152.32

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Solution

The fourth proportional to 161.92, 241.28 and 152.32 is: 226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.92 : 241.28 = 152.32 : x
  2. Step 2: Convert to fraction form
    161.92/241.28 = 152.32/x
  3. Step 3: Cross multiply
    161.92x = 241.28 × 152.32
  4. Step 4: Simplify right side
    161.92x = 36,751.77
  5. Step 5: Solve for x
    x = 36,751.77/161.92
  6. Step 6: Final answer
    x = 226.97

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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.