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Finding the Fourth Proportional to 178.46, 246.27 and 100.83

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Solution

The fourth proportional to 178.46, 246.27 and 100.83 is: 139.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.46 : 246.27 = 100.83 : x
  2. Step 2: Convert to fraction form
    178.46/246.27 = 100.83/x
  3. Step 3: Cross multiply
    178.46x = 246.27 × 100.83
  4. Step 4: Simplify right side
    178.46x = 24,832.02
  5. Step 5: Solve for x
    x = 24,832.02/178.46
  6. Step 6: Final answer
    x = 139.15

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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.