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Finding the Fourth Proportional to 160.92, 221.92 and 153.76

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Solution

The fourth proportional to 160.92, 221.92 and 153.76 is: 212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.92 : 221.92 = 153.76 : x
  2. Step 2: Convert to fraction form
    160.92/221.92 = 153.76/x
  3. Step 3: Cross multiply
    160.92x = 221.92 × 153.76
  4. Step 4: Simplify right side
    160.92x = 34,122.42
  5. Step 5: Solve for x
    x = 34,122.42/160.92
  6. Step 6: Final answer
    x = 212.05

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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.