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Finding the Fourth Proportional to 289.09, 433.41 and 142.78

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Solution

The fourth proportional to 289.09, 433.41 and 142.78 is: 214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.09 : 433.41 = 142.78 : x
  2. Step 2: Convert to fraction form
    289.09/433.41 = 142.78/x
  3. Step 3: Cross multiply
    289.09x = 433.41 × 142.78
  4. Step 4: Simplify right side
    289.09x = 61,882.28
  5. Step 5: Solve for x
    x = 61,882.28/289.09
  6. Step 6: Final answer
    x = 214.06

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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.