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Finding the Fourth Proportional to 294.08, 440.24 and 206.88

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Solution

The fourth proportional to 294.08, 440.24 and 206.88 is: 309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.08 : 440.24 = 206.88 : x
  2. Step 2: Convert to fraction form
    294.08/440.24 = 206.88/x
  3. Step 3: Cross multiply
    294.08x = 440.24 × 206.88
  4. Step 4: Simplify right side
    294.08x = 91,076.85
  5. Step 5: Solve for x
    x = 91,076.85/294.08
  6. Step 6: Final answer
    x = 309.70

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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.