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Finding the Fourth Proportional to 175.20, 261.19 and 164.86

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Solution

The fourth proportional to 175.20, 261.19 and 164.86 is: 245.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.20 : 261.19 = 164.86 : x
  2. Step 2: Convert to fraction form
    175.20/261.19 = 164.86/x
  3. Step 3: Cross multiply
    175.20x = 261.19 × 164.86
  4. Step 4: Simplify right side
    175.20x = 43,059.78
  5. Step 5: Solve for x
    x = 43,059.78/175.20
  6. Step 6: Final answer
    x = 245.78

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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.