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Finding the Fourth Proportional to 302.48, 452.94 and 250.97

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Solution

The fourth proportional to 302.48, 452.94 and 250.97 is: 375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.48 : 452.94 = 250.97 : x
  2. Step 2: Convert to fraction form
    302.48/452.94 = 250.97/x
  3. Step 3: Cross multiply
    302.48x = 452.94 × 250.97
  4. Step 4: Simplify right side
    302.48x = 113,671.15
  5. Step 5: Solve for x
    x = 113,671.15/302.48
  6. Step 6: Final answer
    x = 375.80

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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.