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Finding the Fourth Proportional to 235.79, 354.02 and 133.05

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Solution

The fourth proportional to 235.79, 354.02 and 133.05 is: 199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.79 : 354.02 = 133.05 : x
  2. Step 2: Convert to fraction form
    235.79/354.02 = 133.05/x
  3. Step 3: Cross multiply
    235.79x = 354.02 × 133.05
  4. Step 4: Simplify right side
    235.79x = 47,102.36
  5. Step 5: Solve for x
    x = 47,102.36/235.79
  6. Step 6: Final answer
    x = 199.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.