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Finding the Fourth Proportional to 301.20, 414.24 and 242.88

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Solution

The fourth proportional to 301.20, 414.24 and 242.88 is: 334.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.20 : 414.24 = 242.88 : x
  2. Step 2: Convert to fraction form
    301.20/414.24 = 242.88/x
  3. Step 3: Cross multiply
    301.20x = 414.24 × 242.88
  4. Step 4: Simplify right side
    301.20x = 100,610.61
  5. Step 5: Solve for x
    x = 100,610.61/301.20
  6. Step 6: Final answer
    x = 334.03

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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.