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Finding the Fourth Proportional to 301.36, 452.36 and 233.18

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Solution

The fourth proportional to 301.36, 452.36 and 233.18 is: 350.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.36 : 452.36 = 233.18 : x
  2. Step 2: Convert to fraction form
    301.36/452.36 = 233.18/x
  3. Step 3: Cross multiply
    301.36x = 452.36 × 233.18
  4. Step 4: Simplify right side
    301.36x = 105,481.30
  5. Step 5: Solve for x
    x = 105,481.30/301.36
  6. Step 6: Final answer
    x = 350.02

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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.