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Finding the Fourth Proportional to 289.23, 399.12 and 164.88

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Solution

The fourth proportional to 289.23, 399.12 and 164.88 is: 227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.23 : 399.12 = 164.88 : x
  2. Step 2: Convert to fraction form
    289.23/399.12 = 164.88/x
  3. Step 3: Cross multiply
    289.23x = 399.12 × 164.88
  4. Step 4: Simplify right side
    289.23x = 65,806.91
  5. Step 5: Solve for x
    x = 65,806.91/289.23
  6. Step 6: Final answer
    x = 227.52

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Why These Related Problems?

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