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Finding the Fourth Proportional to 243.94, 365.60 and 106.78

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Solution

The fourth proportional to 243.94, 365.60 and 106.78 is: 160.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.94 : 365.60 = 106.78 : x
  2. Step 2: Convert to fraction form
    243.94/365.60 = 106.78/x
  3. Step 3: Cross multiply
    243.94x = 365.60 × 106.78
  4. Step 4: Simplify right side
    243.94x = 39,038.77
  5. Step 5: Solve for x
    x = 39,038.77/243.94
  6. Step 6: Final answer
    x = 160.03

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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.