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Finding the Fourth Proportional to 289.32, 399.25 and 164.98

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Solution

The fourth proportional to 289.32, 399.25 and 164.98 is: 227.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.32 : 399.25 = 164.98 : x
  2. Step 2: Convert to fraction form
    289.32/399.25 = 164.98/x
  3. Step 3: Cross multiply
    289.32x = 399.25 × 164.98
  4. Step 4: Simplify right side
    289.32x = 65,868.27
  5. Step 5: Solve for x
    x = 65,868.27/289.32
  6. Step 6: Final answer
    x = 227.67

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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.