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Finding the Fourth Proportional to 301.84, 453 and 193.48

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Solution

The fourth proportional to 301.84, 453 and 193.48 is: 290.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.84 : 453 = 193.48 : x
  2. Step 2: Convert to fraction form
    301.84/453 = 193.48/x
  3. Step 3: Cross multiply
    301.84x = 453 × 193.48
  4. Step 4: Simplify right side
    301.84x = 87,646.44
  5. Step 5: Solve for x
    x = 87,646.44/301.84
  6. Step 6: Final answer
    x = 290.37

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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.