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Finding the Fourth Proportional to 179.20, 246.89 and 149.58

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Solution

The fourth proportional to 179.20, 246.89 and 149.58 is: 206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.20 : 246.89 = 149.58 : x
  2. Step 2: Convert to fraction form
    179.20/246.89 = 149.58/x
  3. Step 3: Cross multiply
    179.20x = 246.89 × 149.58
  4. Step 4: Simplify right side
    179.20x = 36,929.81
  5. Step 5: Solve for x
    x = 36,929.81/179.20
  6. Step 6: Final answer
    x = 206.08

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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.