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Finding the Fourth Proportional to 179.86, 248.23 and 114.38

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Solution

The fourth proportional to 179.86, 248.23 and 114.38 is: 157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.86 : 248.23 = 114.38 : x
  2. Step 2: Convert to fraction form
    179.86/248.23 = 114.38/x
  3. Step 3: Cross multiply
    179.86x = 248.23 × 114.38
  4. Step 4: Simplify right side
    179.86x = 28,392.55
  5. Step 5: Solve for x
    x = 28,392.55/179.86
  6. Step 6: Final answer
    x = 157.86

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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.