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Finding the Fourth Proportional to 243.86, 365.86 and 106.88

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Solution

The fourth proportional to 243.86, 365.86 and 106.88 is: 160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.86 : 365.86 = 106.88 : x
  2. Step 2: Convert to fraction form
    243.86/365.86 = 106.88/x
  3. Step 3: Cross multiply
    243.86x = 365.86 × 106.88
  4. Step 4: Simplify right side
    243.86x = 39,103.12
  5. Step 5: Solve for x
    x = 39,103.12/243.86
  6. Step 6: Final answer
    x = 160.35

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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.