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Finding the Fourth Proportional to 141.88, 212.34 and 133

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Solution

The fourth proportional to 141.88, 212.34 and 133 is: 199.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.88 : 212.34 = 133 : x
  2. Step 2: Convert to fraction form
    141.88/212.34 = 133/x
  3. Step 3: Cross multiply
    141.88x = 212.34 × 133
  4. Step 4: Simplify right side
    141.88x = 28,241.22
  5. Step 5: Solve for x
    x = 28,241.22/141.88
  6. Step 6: Final answer
    x = 199.05

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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.