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Finding the Fourth Proportional to 179.31, 246.95 and 154.74

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Solution

The fourth proportional to 179.31, 246.95 and 154.74 is: 213.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.31 : 246.95 = 154.74 : x
  2. Step 2: Convert to fraction form
    179.31/246.95 = 154.74/x
  3. Step 3: Cross multiply
    179.31x = 246.95 × 154.74
  4. Step 4: Simplify right side
    179.31x = 38,212.27
  5. Step 5: Solve for x
    x = 38,212.27/179.31
  6. Step 6: Final answer
    x = 213.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.