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Finding the Fourth Proportional to 178.98, 269.67 and 149.22

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Solution

The fourth proportional to 178.98, 269.67 and 149.22 is: 224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.98 : 269.67 = 149.22 : x
  2. Step 2: Convert to fraction form
    178.98/269.67 = 149.22/x
  3. Step 3: Cross multiply
    178.98x = 269.67 × 149.22
  4. Step 4: Simplify right side
    178.98x = 40,240.16
  5. Step 5: Solve for x
    x = 40,240.16/178.98
  6. Step 6: Final answer
    x = 224.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.