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Finding the Fourth Proportional to 179.95, 248.41 and 113.62

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Solution

The fourth proportional to 179.95, 248.41 and 113.62 is: 156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.95 : 248.41 = 113.62 : x
  2. Step 2: Convert to fraction form
    179.95/248.41 = 113.62/x
  3. Step 3: Cross multiply
    179.95x = 248.41 × 113.62
  4. Step 4: Simplify right side
    179.95x = 28,224.34
  5. Step 5: Solve for x
    x = 28,224.34/179.95
  6. Step 6: Final answer
    x = 156.85

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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.