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Finding the Fourth Proportional to 178.81, 246.71 and 113.27

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Solution

The fourth proportional to 178.81, 246.71 and 113.27 is: 156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.81 : 246.71 = 113.27 : x
  2. Step 2: Convert to fraction form
    178.81/246.71 = 113.27/x
  3. Step 3: Cross multiply
    178.81x = 246.71 × 113.27
  4. Step 4: Simplify right side
    178.81x = 27,943.89
  5. Step 5: Solve for x
    x = 27,943.89/178.81
  6. Step 6: Final answer
    x = 156.28

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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.