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Finding the Fourth Proportional to 178.13, 245.82 and 109.13

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Solution

The fourth proportional to 178.13, 245.82 and 109.13 is: 150.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.13 : 245.82 = 109.13 : x
  2. Step 2: Convert to fraction form
    178.13/245.82 = 109.13/x
  3. Step 3: Cross multiply
    178.13x = 245.82 × 109.13
  4. Step 4: Simplify right side
    178.13x = 26,824.56
  5. Step 5: Solve for x
    x = 26,824.56/178.13
  6. Step 6: Final answer
    x = 150.59

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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.