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Finding the Fourth Proportional to 289.11, 433.06 and 191.67

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Solution

The fourth proportional to 289.11, 433.06 and 191.67 is: 287.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.11 : 433.06 = 191.67 : x
  2. Step 2: Convert to fraction form
    289.11/433.06 = 191.67/x
  3. Step 3: Cross multiply
    289.11x = 433.06 × 191.67
  4. Step 4: Simplify right side
    289.11x = 83,004.61
  5. Step 5: Solve for x
    x = 83,004.61/289.11
  6. Step 6: Final answer
    x = 287.10

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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.