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Finding the Fourth Proportional to 279.53, 419.35 and 106.19

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Solution

The fourth proportional to 279.53, 419.35 and 106.19 is: 159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.53 : 419.35 = 106.19 : x
  2. Step 2: Convert to fraction form
    279.53/419.35 = 106.19/x
  3. Step 3: Cross multiply
    279.53x = 419.35 × 106.19
  4. Step 4: Simplify right side
    279.53x = 44,530.25
  5. Step 5: Solve for x
    x = 44,530.25/279.53
  6. Step 6: Final answer
    x = 159.31

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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.