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Finding the Fourth Proportional to 289.16, 399.03 and 164.82

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Solution

The fourth proportional to 289.16, 399.03 and 164.82 is: 227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.16 : 399.03 = 164.82 : x
  2. Step 2: Convert to fraction form
    289.16/399.03 = 164.82/x
  3. Step 3: Cross multiply
    289.16x = 399.03 × 164.82
  4. Step 4: Simplify right side
    289.16x = 65,768.12
  5. Step 5: Solve for x
    x = 65,768.12/289.16
  6. Step 6: Final answer
    x = 227.45

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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.