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Finding the Fourth Proportional to 179.64, 247.87 and 105.96

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Solution

The fourth proportional to 179.64, 247.87 and 105.96 is: 146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.64 : 247.87 = 105.96 : x
  2. Step 2: Convert to fraction form
    179.64/247.87 = 105.96/x
  3. Step 3: Cross multiply
    179.64x = 247.87 × 105.96
  4. Step 4: Simplify right side
    179.64x = 26,264.31
  5. Step 5: Solve for x
    x = 26,264.31/179.64
  6. Step 6: Final answer
    x = 146.21

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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.