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Finding the Fourth Proportional to 179.86, 270.04 and 102.88

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Solution

The fourth proportional to 179.86, 270.04 and 102.88 is: 154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.86 : 270.04 = 102.88 : x
  2. Step 2: Convert to fraction form
    179.86/270.04 = 102.88/x
  3. Step 3: Cross multiply
    179.86x = 270.04 × 102.88
  4. Step 4: Simplify right side
    179.86x = 27,781.72
  5. Step 5: Solve for x
    x = 27,781.72/179.86
  6. Step 6: Final answer
    x = 154.46

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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.