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Finding the Fourth Proportional to 178.26, 245.82 and 112.65

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Solution

The fourth proportional to 178.26, 245.82 and 112.65 is: 155.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.26 : 245.82 = 112.65 : x
  2. Step 2: Convert to fraction form
    178.26/245.82 = 112.65/x
  3. Step 3: Cross multiply
    178.26x = 245.82 × 112.65
  4. Step 4: Simplify right side
    178.26x = 27,691.62
  5. Step 5: Solve for x
    x = 27,691.62/178.26
  6. Step 6: Final answer
    x = 155.34

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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.