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Finding the Fourth Proportional to 248.37, 372.02 and 161.61

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Solution

The fourth proportional to 248.37, 372.02 and 161.61 is: 242.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.37 : 372.02 = 161.61 : x
  2. Step 2: Convert to fraction form
    248.37/372.02 = 161.61/x
  3. Step 3: Cross multiply
    248.37x = 372.02 × 161.61
  4. Step 4: Simplify right side
    248.37x = 60,121.34
  5. Step 5: Solve for x
    x = 60,121.34/248.37
  6. Step 6: Final answer
    x = 242.06

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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.