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Finding the Fourth Proportional to 178.85, 246.81 and 100.17

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Solution

The fourth proportional to 178.85, 246.81 and 100.17 is: 138.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.85 : 246.81 = 100.17 : x
  2. Step 2: Convert to fraction form
    178.85/246.81 = 100.17/x
  3. Step 3: Cross multiply
    178.85x = 246.81 × 100.17
  4. Step 4: Simplify right side
    178.85x = 24,722.96
  5. Step 5: Solve for x
    x = 24,722.96/178.85
  6. Step 6: Final answer
    x = 138.24

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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.