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Finding the Fourth Proportional to 302.24, 453.36 and 238.52

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Solution

The fourth proportional to 302.24, 453.36 and 238.52 is: 357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.24 : 453.36 = 238.52 : x
  2. Step 2: Convert to fraction form
    302.24/453.36 = 238.52/x
  3. Step 3: Cross multiply
    302.24x = 453.36 × 238.52
  4. Step 4: Simplify right side
    302.24x = 108,135.43
  5. Step 5: Solve for x
    x = 108,135.43/302.24
  6. Step 6: Final answer
    x = 357.78

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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.