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Finding the Fourth Proportional to 179.87, 248.24 and 109.93

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Solution

The fourth proportional to 179.87, 248.24 and 109.93 is: 151.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.87 : 248.24 = 109.93 : x
  2. Step 2: Convert to fraction form
    179.87/248.24 = 109.93/x
  3. Step 3: Cross multiply
    179.87x = 248.24 × 109.93
  4. Step 4: Simplify right side
    179.87x = 27,289.02
  5. Step 5: Solve for x
    x = 27,289.02/179.87
  6. Step 6: Final answer
    x = 151.72

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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.