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Finding the Fourth Proportional to 245.35, 338.45 and 166.67

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Solution

The fourth proportional to 245.35, 338.45 and 166.67 is: 229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.35 : 338.45 = 166.67 : x
  2. Step 2: Convert to fraction form
    245.35/338.45 = 166.67/x
  3. Step 3: Cross multiply
    245.35x = 338.45 × 166.67
  4. Step 4: Simplify right side
    245.35x = 56,409.46
  5. Step 5: Solve for x
    x = 56,409.46/245.35
  6. Step 6: Final answer
    x = 229.91

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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.