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Finding the Fourth Proportional to 179.10, 246.69 and 140.22

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Solution

The fourth proportional to 179.10, 246.69 and 140.22 is: 193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.10 : 246.69 = 140.22 : x
  2. Step 2: Convert to fraction form
    179.10/246.69 = 140.22/x
  3. Step 3: Cross multiply
    179.10x = 246.69 × 140.22
  4. Step 4: Simplify right side
    179.10x = 34,590.87
  5. Step 5: Solve for x
    x = 34,590.87/179.10
  6. Step 6: Final answer
    x = 193.14

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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.