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Finding the Fourth Proportional to 160.38, 220.73 and 153.09

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Solution

The fourth proportional to 160.38, 220.73 and 153.09 is: 210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.38 : 220.73 = 153.09 : x
  2. Step 2: Convert to fraction form
    160.38/220.73 = 153.09/x
  3. Step 3: Cross multiply
    160.38x = 220.73 × 153.09
  4. Step 4: Simplify right side
    160.38x = 33,790.79
  5. Step 5: Solve for x
    x = 33,790.79/160.38
  6. Step 6: Final answer
    x = 210.69

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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.