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Finding the Fourth Proportional to 178.59, 246.44 and 100.96

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Solution

The fourth proportional to 178.59, 246.44 and 100.96 is: 139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.59 : 246.44 = 100.96 : x
  2. Step 2: Convert to fraction form
    178.59/246.44 = 100.96/x
  3. Step 3: Cross multiply
    178.59x = 246.44 × 100.96
  4. Step 4: Simplify right side
    178.59x = 24,880.69
  5. Step 5: Solve for x
    x = 24,880.69/178.59
  6. Step 6: Final answer
    x = 139.32

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Why These Related Problems?

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