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Finding the Fourth Proportional to 179.73, 247.93 and 109.75

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Solution

The fourth proportional to 179.73, 247.93 and 109.75 is: 151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.73 : 247.93 = 109.75 : x
  2. Step 2: Convert to fraction form
    179.73/247.93 = 109.75/x
  3. Step 3: Cross multiply
    179.73x = 247.93 × 109.75
  4. Step 4: Simplify right side
    179.73x = 27,210.32
  5. Step 5: Solve for x
    x = 27,210.32/179.73
  6. Step 6: Final answer
    x = 151.40

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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.