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Finding the Fourth Proportional to 178.11, 245.70 and 111.82

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Solution

The fourth proportional to 178.11, 245.70 and 111.82 is: 154.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.11 : 245.70 = 111.82 : x
  2. Step 2: Convert to fraction form
    178.11/245.70 = 111.82/x
  3. Step 3: Cross multiply
    178.11x = 245.70 × 111.82
  4. Step 4: Simplify right side
    178.11x = 27,473.61
  5. Step 5: Solve for x
    x = 27,473.61/178.11
  6. Step 6: Final answer
    x = 154.25

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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.