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Finding the Fourth Proportional to 274.04, 378.14 and 163.50

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Solution

The fourth proportional to 274.04, 378.14 and 163.50 is: 225.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.04 : 378.14 = 163.50 : x
  2. Step 2: Convert to fraction form
    274.04/378.14 = 163.50/x
  3. Step 3: Cross multiply
    274.04x = 378.14 × 163.50
  4. Step 4: Simplify right side
    274.04x = 61,825.89
  5. Step 5: Solve for x
    x = 61,825.89/274.04
  6. Step 6: Final answer
    x = 225.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.