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Finding the Fourth Proportional to 179.43, 247.71 and 105.77

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Solution

The fourth proportional to 179.43, 247.71 and 105.77 is: 146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.43 : 247.71 = 105.77 : x
  2. Step 2: Convert to fraction form
    179.43/247.71 = 105.77/x
  3. Step 3: Cross multiply
    179.43x = 247.71 × 105.77
  4. Step 4: Simplify right side
    179.43x = 26,200.71
  5. Step 5: Solve for x
    x = 26,200.71/179.43
  6. Step 6: Final answer
    x = 146.02

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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.