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Finding the Fourth Proportional to 235.76, 353.36 and 133

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Solution

The fourth proportional to 235.76, 353.36 and 133 is: 199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.76 : 353.36 = 133 : x
  2. Step 2: Convert to fraction form
    235.76/353.36 = 133/x
  3. Step 3: Cross multiply
    235.76x = 353.36 × 133
  4. Step 4: Simplify right side
    235.76x = 46,996.88
  5. Step 5: Solve for x
    x = 46,996.88/235.76
  6. Step 6: Final answer
    x = 199.34

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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.