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Finding the Fourth Proportional to 178.46, 246.23 and 100.84

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Solution

The fourth proportional to 178.46, 246.23 and 100.84 is: 139.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.46 : 246.23 = 100.84 : x
  2. Step 2: Convert to fraction form
    178.46/246.23 = 100.84/x
  3. Step 3: Cross multiply
    178.46x = 246.23 × 100.84
  4. Step 4: Simplify right side
    178.46x = 24,828.60
  5. Step 5: Solve for x
    x = 24,828.60/178.46
  6. Step 6: Final answer
    x = 139.13

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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.