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Finding the Fourth Proportional to 178.72, 246.75 and 112.36

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Solution

The fourth proportional to 178.72, 246.75 and 112.36 is: 155.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.72 : 246.75 = 112.36 : x
  2. Step 2: Convert to fraction form
    178.72/246.75 = 112.36/x
  3. Step 3: Cross multiply
    178.72x = 246.75 × 112.36
  4. Step 4: Simplify right side
    178.72x = 27,723.60
  5. Step 5: Solve for x
    x = 27,723.60/178.72
  6. Step 6: Final answer
    x = 155.13

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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.