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Finding the Fourth Proportional to 289.60, 433.99 and 126.94

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Solution

The fourth proportional to 289.60, 433.99 and 126.94 is: 190.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.60 : 433.99 = 126.94 : x
  2. Step 2: Convert to fraction form
    289.60/433.99 = 126.94/x
  3. Step 3: Cross multiply
    289.60x = 433.99 × 126.94
  4. Step 4: Simplify right side
    289.60x = 55,090.69
  5. Step 5: Solve for x
    x = 55,090.69/289.60
  6. Step 6: Final answer
    x = 190.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.