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Finding the Fourth Proportional to 289.22, 399.16 and 164.90

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Solution

The fourth proportional to 289.22, 399.16 and 164.90 is: 227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.22 : 399.16 = 164.90 : x
  2. Step 2: Convert to fraction form
    289.22/399.16 = 164.90/x
  3. Step 3: Cross multiply
    289.22x = 399.16 × 164.90
  4. Step 4: Simplify right side
    289.22x = 65,821.48
  5. Step 5: Solve for x
    x = 65,821.48/289.22
  6. Step 6: Final answer
    x = 227.58

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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.