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Finding the Fourth Proportional to 179.85, 248.18 and 102.23

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Solution

The fourth proportional to 179.85, 248.18 and 102.23 is: 141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.85 : 248.18 = 102.23 : x
  2. Step 2: Convert to fraction form
    179.85/248.18 = 102.23/x
  3. Step 3: Cross multiply
    179.85x = 248.18 × 102.23
  4. Step 4: Simplify right side
    179.85x = 25,370.20
  5. Step 5: Solve for x
    x = 25,370.20/179.85
  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.