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Finding the Fourth Proportional to 169.62, 234 and 144.81

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Solution

The fourth proportional to 169.62, 234 and 144.81 is: 199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.62 : 234 = 144.81 : x
  2. Step 2: Convert to fraction form
    169.62/234 = 144.81/x
  3. Step 3: Cross multiply
    169.62x = 234 × 144.81
  4. Step 4: Simplify right side
    169.62x = 33,885.54
  5. Step 5: Solve for x
    x = 33,885.54/169.62
  6. Step 6: Final answer
    x = 199.77

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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.