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Finding the Fourth Proportional to 174, 261.06 and 169.56

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Solution

The fourth proportional to 174, 261.06 and 169.56 is: 254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174 : 261.06 = 169.56 : x
  2. Step 2: Convert to fraction form
    174/261.06 = 169.56/x
  3. Step 3: Cross multiply
    174x = 261.06 × 169.56
  4. Step 4: Simplify right side
    174x = 44,265.33
  5. Step 5: Solve for x
    x = 44,265.33/174
  6. Step 6: Final answer
    x = 254.40

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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.