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Finding the Fourth Proportional to 179.05, 268.37 and 106.56

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Solution

The fourth proportional to 179.05, 268.37 and 106.56 is: 159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.05 : 268.37 = 106.56 : x
  2. Step 2: Convert to fraction form
    179.05/268.37 = 106.56/x
  3. Step 3: Cross multiply
    179.05x = 268.37 × 106.56
  4. Step 4: Simplify right side
    179.05x = 28,597.51
  5. Step 5: Solve for x
    x = 28,597.51/179.05
  6. Step 6: Final answer
    x = 159.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.