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Finding the Fourth Proportional to 244.37, 365.84 and 161.96

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Solution

The fourth proportional to 244.37, 365.84 and 161.96 is: 242.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.37 : 365.84 = 161.96 : x
  2. Step 2: Convert to fraction form
    244.37/365.84 = 161.96/x
  3. Step 3: Cross multiply
    244.37x = 365.84 × 161.96
  4. Step 4: Simplify right side
    244.37x = 59,248.81
  5. Step 5: Solve for x
    x = 59,248.81/244.37
  6. Step 6: Final answer
    x = 242.46

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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.