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Finding the Fourth Proportional to 174.45, 259.80 and 163.97

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Solution

The fourth proportional to 174.45, 259.80 and 163.97 is: 244.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.45 : 259.80 = 163.97 : x
  2. Step 2: Convert to fraction form
    174.45/259.80 = 163.97/x
  3. Step 3: Cross multiply
    174.45x = 259.80 × 163.97
  4. Step 4: Simplify right side
    174.45x = 42,598.47
  5. Step 5: Solve for x
    x = 42,598.47/174.45
  6. Step 6: Final answer
    x = 244.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.