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Finding the Fourth Proportional to 302.73, 453.63 and 225.33

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Solution

The fourth proportional to 302.73, 453.63 and 225.33 is: 337.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.73 : 453.63 = 225.33 : x
  2. Step 2: Convert to fraction form
    302.73/453.63 = 225.33/x
  3. Step 3: Cross multiply
    302.73x = 453.63 × 225.33
  4. Step 4: Simplify right side
    302.73x = 102,216.45
  5. Step 5: Solve for x
    x = 102,216.45/302.73
  6. Step 6: Final answer
    x = 337.65

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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.