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Finding the Fourth Proportional to 160, 220.26 and 143.62

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Solution

The fourth proportional to 160, 220.26 and 143.62 is: 197.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160 : 220.26 = 143.62 : x
  2. Step 2: Convert to fraction form
    160/220.26 = 143.62/x
  3. Step 3: Cross multiply
    160x = 220.26 × 143.62
  4. Step 4: Simplify right side
    160x = 31,633.74
  5. Step 5: Solve for x
    x = 31,633.74/160
  6. Step 6: Final answer
    x = 197.71

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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.