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Finding the Fourth Proportional to 179.42, 247.70 and 120.48

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Solution

The fourth proportional to 179.42, 247.70 and 120.48 is: 166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.42 : 247.70 = 120.48 : x
  2. Step 2: Convert to fraction form
    179.42/247.70 = 120.48/x
  3. Step 3: Cross multiply
    179.42x = 247.70 × 120.48
  4. Step 4: Simplify right side
    179.42x = 29,842.29
  5. Step 5: Solve for x
    x = 29,842.29/179.42
  6. Step 6: Final answer
    x = 166.33

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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.