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Finding the Fourth Proportional to 289.67, 399.75 and 173.30

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Solution

The fourth proportional to 289.67, 399.75 and 173.30 is: 239.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.67 : 399.75 = 173.30 : x
  2. Step 2: Convert to fraction form
    289.67/399.75 = 173.30/x
  3. Step 3: Cross multiply
    289.67x = 399.75 × 173.30
  4. Step 4: Simplify right side
    289.67x = 69,276.68
  5. Step 5: Solve for x
    x = 69,276.68/289.67
  6. Step 6: Final answer
    x = 239.16

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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.