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Finding the Fourth Proportional to 178.54, 246.46 and 113.06

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Solution

The fourth proportional to 178.54, 246.46 and 113.06 is: 156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.54 : 246.46 = 113.06 : x
  2. Step 2: Convert to fraction form
    178.54/246.46 = 113.06/x
  3. Step 3: Cross multiply
    178.54x = 246.46 × 113.06
  4. Step 4: Simplify right side
    178.54x = 27,864.77
  5. Step 5: Solve for x
    x = 27,864.77/178.54
  6. Step 6: Final answer
    x = 156.07

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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.