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Finding the Fourth Proportional to 289.74, 400.01 and 191.67

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Solution

The fourth proportional to 289.74, 400.01 and 191.67 is: 264.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.74 : 400.01 = 191.67 : x
  2. Step 2: Convert to fraction form
    289.74/400.01 = 191.67/x
  3. Step 3: Cross multiply
    289.74x = 400.01 × 191.67
  4. Step 4: Simplify right side
    289.74x = 76,667.46
  5. Step 5: Solve for x
    x = 76,667.46/289.74
  6. Step 6: Final answer
    x = 264.60

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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.