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Finding the Fourth Proportional to 178.21, 245.73 and 112.69

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Solution

The fourth proportional to 178.21, 245.73 and 112.69 is: 155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.21 : 245.73 = 112.69 : x
  2. Step 2: Convert to fraction form
    178.21/245.73 = 112.69/x
  3. Step 3: Cross multiply
    178.21x = 245.73 × 112.69
  4. Step 4: Simplify right side
    178.21x = 27,691.31
  5. Step 5: Solve for x
    x = 27,691.31/178.21
  6. Step 6: Final answer
    x = 155.39

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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.