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Finding the Fourth Proportional to 178.74, 246.62 and 112.37

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Solution

The fourth proportional to 178.74, 246.62 and 112.37 is: 155.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.74 : 246.62 = 112.37 : x
  2. Step 2: Convert to fraction form
    178.74/246.62 = 112.37/x
  3. Step 3: Cross multiply
    178.74x = 246.62 × 112.37
  4. Step 4: Simplify right side
    178.74x = 27,710.89
  5. Step 5: Solve for x
    x = 27,710.89/178.74
  6. Step 6: Final answer
    x = 155.03

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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.