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Finding the Fourth Proportional to 289.30, 399.16 and 164.93

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Solution

The fourth proportional to 289.30, 399.16 and 164.93 is: 227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.30 : 399.16 = 164.93 : x
  2. Step 2: Convert to fraction form
    289.30/399.16 = 164.93/x
  3. Step 3: Cross multiply
    289.30x = 399.16 × 164.93
  4. Step 4: Simplify right side
    289.30x = 65,833.46
  5. Step 5: Solve for x
    x = 65,833.46/289.30
  6. Step 6: Final answer
    x = 227.56

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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.