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Finding the Fourth Proportional to 178.92, 244.85 and 175.14

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Solution

The fourth proportional to 178.92, 244.85 and 175.14 is: 239.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.92 : 244.85 = 175.14 : x
  2. Step 2: Convert to fraction form
    178.92/244.85 = 175.14/x
  3. Step 3: Cross multiply
    178.92x = 244.85 × 175.14
  4. Step 4: Simplify right side
    178.92x = 42,882.15
  5. Step 5: Solve for x
    x = 42,882.15/178.92
  6. Step 6: Final answer
    x = 239.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.