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Finding the Fourth Proportional to 174, 261 and 109.92

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Solution

The fourth proportional to 174, 261 and 109.92 is: 164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    174 : 261 = 109.92 : x
  2. Step 2: Convert to fraction form
    174/261 = 109.92/x
  3. Step 3: Cross multiply
    174x = 261 × 109.92
  4. Step 4: Simplify right side
    174x = 28,689.12
  5. Step 5: Solve for x
    x = 28,689.12/174
  6. Step 6: Final answer
    x = 164.88

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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.