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Finding the Fourth Proportional to 179.00, 268.22 and 151.47

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Solution

The fourth proportional to 179.00, 268.22 and 151.47 is: 226.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.00 : 268.22 = 151.47 : x
  2. Step 2: Convert to fraction form
    179.00/268.22 = 151.47/x
  3. Step 3: Cross multiply
    179.00x = 268.22 × 151.47
  4. Step 4: Simplify right side
    179.00x = 40,626.55
  5. Step 5: Solve for x
    x = 40,626.55/179.00
  6. Step 6: Final answer
    x = 226.96

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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.