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Finding the Fourth Proportional to 178.24, 245.82 and 136.78

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Solution

The fourth proportional to 178.24, 245.82 and 136.78 is: 188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.24 : 245.82 = 136.78 : x
  2. Step 2: Convert to fraction form
    178.24/245.82 = 136.78/x
  3. Step 3: Cross multiply
    178.24x = 245.82 × 136.78
  4. Step 4: Simplify right side
    178.24x = 33,623.26
  5. Step 5: Solve for x
    x = 33,623.26/178.24
  6. Step 6: Final answer
    x = 188.64

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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.