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Finding the Fourth Proportional to 235.90, 353.38 and 133.03

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Solution

The fourth proportional to 235.90, 353.38 and 133.03 is: 199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.90 : 353.38 = 133.03 : x
  2. Step 2: Convert to fraction form
    235.90/353.38 = 133.03/x
  3. Step 3: Cross multiply
    235.90x = 353.38 × 133.03
  4. Step 4: Simplify right side
    235.90x = 47,010.14
  5. Step 5: Solve for x
    x = 47,010.14/235.90
  6. Step 6: Final answer
    x = 199.28

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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.