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Finding the Fourth Proportional to 311.66, 429.89 and 193.67

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Solution

The fourth proportional to 311.66, 429.89 and 193.67 is: 267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.66 : 429.89 = 193.67 : x
  2. Step 2: Convert to fraction form
    311.66/429.89 = 193.67/x
  3. Step 3: Cross multiply
    311.66x = 429.89 × 193.67
  4. Step 4: Simplify right side
    311.66x = 83,256.80
  5. Step 5: Solve for x
    x = 83,256.80/311.66
  6. Step 6: Final answer
    x = 267.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.