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Finding the Fourth Proportional to 289.13, 399 and 164.78

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Solution

The fourth proportional to 289.13, 399 and 164.78 is: 227.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.13 : 399 = 164.78 : x
  2. Step 2: Convert to fraction form
    289.13/399 = 164.78/x
  3. Step 3: Cross multiply
    289.13x = 399 × 164.78
  4. Step 4: Simplify right side
    289.13x = 65,747.22
  5. Step 5: Solve for x
    x = 65,747.22/289.13
  6. Step 6: Final answer
    x = 227.40

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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.