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Finding the Fourth Proportional to 245.30, 338.04 and 242.12

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Solution

The fourth proportional to 245.30, 338.04 and 242.12 is: 333.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.30 : 338.04 = 242.12 : x
  2. Step 2: Convert to fraction form
    245.30/338.04 = 242.12/x
  3. Step 3: Cross multiply
    245.30x = 338.04 × 242.12
  4. Step 4: Simplify right side
    245.30x = 81,847.09
  5. Step 5: Solve for x
    x = 81,847.09/245.30
  6. Step 6: Final answer
    x = 333.67

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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.