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Finding the Fourth Proportional to 279.89, 419.62 and 133.75

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Solution

The fourth proportional to 279.89, 419.62 and 133.75 is: 200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.89 : 419.62 = 133.75 : x
  2. Step 2: Convert to fraction form
    279.89/419.62 = 133.75/x
  3. Step 3: Cross multiply
    279.89x = 419.62 × 133.75
  4. Step 4: Simplify right side
    279.89x = 56,124.18
  5. Step 5: Solve for x
    x = 56,124.18/279.89
  6. Step 6: Final answer
    x = 200.52

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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.