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Finding the Fourth Proportional to 178.81, 246.77 and 105.15

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Solution

The fourth proportional to 178.81, 246.77 and 105.15 is: 145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.81 : 246.77 = 105.15 : x
  2. Step 2: Convert to fraction form
    178.81/246.77 = 105.15/x
  3. Step 3: Cross multiply
    178.81x = 246.77 × 105.15
  4. Step 4: Simplify right side
    178.81x = 25,947.87
  5. Step 5: Solve for x
    x = 25,947.87/178.81
  6. Step 6: Final answer
    x = 145.11

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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.