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Finding the Fourth Proportional to 243.66, 365.66 and 106.80

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Solution

The fourth proportional to 243.66, 365.66 and 106.80 is: 160.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.66 : 365.66 = 106.80 : x
  2. Step 2: Convert to fraction form
    243.66/365.66 = 106.80/x
  3. Step 3: Cross multiply
    243.66x = 365.66 × 106.80
  4. Step 4: Simplify right side
    243.66x = 39,052.49
  5. Step 5: Solve for x
    x = 39,052.49/243.66
  6. Step 6: Final answer
    x = 160.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.