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Finding the Fourth Proportional to 294.12, 441.72 and 213.12

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Solution

The fourth proportional to 294.12, 441.72 and 213.12 is: 320.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.12 : 441.72 = 213.12 : x
  2. Step 2: Convert to fraction form
    294.12/441.72 = 213.12/x
  3. Step 3: Cross multiply
    294.12x = 441.72 × 213.12
  4. Step 4: Simplify right side
    294.12x = 94,139.37
  5. Step 5: Solve for x
    x = 94,139.37/294.12
  6. Step 6: Final answer
    x = 320.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.