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Finding the Fourth Proportional to 289.25, 399.16 and 164.91

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Solution

The fourth proportional to 289.25, 399.16 and 164.91 is: 227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.25 : 399.16 = 164.91 : x
  2. Step 2: Convert to fraction form
    289.25/399.16 = 164.91/x
  3. Step 3: Cross multiply
    289.25x = 399.16 × 164.91
  4. Step 4: Simplify right side
    289.25x = 65,824.47
  5. Step 5: Solve for x
    x = 65,824.47/289.25
  6. Step 6: Final answer
    x = 227.57

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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.