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Finding the Fourth Proportional to 178.14, 245.76 and 111.75

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Solution

The fourth proportional to 178.14, 245.76 and 111.75 is: 154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.14 : 245.76 = 111.75 : x
  2. Step 2: Convert to fraction form
    178.14/245.76 = 111.75/x
  3. Step 3: Cross multiply
    178.14x = 245.76 × 111.75
  4. Step 4: Simplify right side
    178.14x = 27,463.68
  5. Step 5: Solve for x
    x = 27,463.68/178.14
  6. Step 6: Final answer
    x = 154.17

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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.