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Finding the Fourth Proportional to 179.61, 269.29 and 118.56

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Solution

The fourth proportional to 179.61, 269.29 and 118.56 is: 177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.61 : 269.29 = 118.56 : x
  2. Step 2: Convert to fraction form
    179.61/269.29 = 118.56/x
  3. Step 3: Cross multiply
    179.61x = 269.29 × 118.56
  4. Step 4: Simplify right side
    179.61x = 31,927.02
  5. Step 5: Solve for x
    x = 31,927.02/179.61
  6. Step 6: Final answer
    x = 177.76

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