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Finding the Fourth Proportional to 279.31, 419.09 and 106.06

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Solution

The fourth proportional to 279.31, 419.09 and 106.06 is: 159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.31 : 419.09 = 106.06 : x
  2. Step 2: Convert to fraction form
    279.31/419.09 = 106.06/x
  3. Step 3: Cross multiply
    279.31x = 419.09 × 106.06
  4. Step 4: Simplify right side
    279.31x = 44,448.69
  5. Step 5: Solve for x
    x = 44,448.69/279.31
  6. Step 6: Final answer
    x = 159.14

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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.