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Finding the Fourth Proportional to 179.85, 248.19 and 102.22

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Solution

The fourth proportional to 179.85, 248.19 and 102.22 is: 141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.85 : 248.19 = 102.22 : x
  2. Step 2: Convert to fraction form
    179.85/248.19 = 102.22/x
  3. Step 3: Cross multiply
    179.85x = 248.19 × 102.22
  4. Step 4: Simplify right side
    179.85x = 25,369.98
  5. Step 5: Solve for x
    x = 25,369.98/179.85
  6. Step 6: Final answer
    x = 141.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.