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Finding the Fourth Proportional to 279.48, 419.15 and 133.14

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Solution

The fourth proportional to 279.48, 419.15 and 133.14 is: 199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.48 : 419.15 = 133.14 : x
  2. Step 2: Convert to fraction form
    279.48/419.15 = 133.14/x
  3. Step 3: Cross multiply
    279.48x = 419.15 × 133.14
  4. Step 4: Simplify right side
    279.48x = 55,805.96
  5. Step 5: Solve for x
    x = 55,805.96/279.48
  6. Step 6: Final answer
    x = 199.68

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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.