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Finding the Fourth Proportional to 337.61, 505.71 and 163.74

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Solution

The fourth proportional to 337.61, 505.71 and 163.74 is: 245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.61 : 505.71 = 163.74 : x
  2. Step 2: Convert to fraction form
    337.61/505.71 = 163.74/x
  3. Step 3: Cross multiply
    337.61x = 505.71 × 163.74
  4. Step 4: Simplify right side
    337.61x = 82,804.96
  5. Step 5: Solve for x
    x = 82,804.96/337.61
  6. Step 6: Final answer
    x = 245.27

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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.