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Finding the Fourth Proportional to 279.29, 419.05 and 125.18

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Solution

The fourth proportional to 279.29, 419.05 and 125.18 is: 187.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.29 : 419.05 = 125.18 : x
  2. Step 2: Convert to fraction form
    279.29/419.05 = 125.18/x
  3. Step 3: Cross multiply
    279.29x = 419.05 × 125.18
  4. Step 4: Simplify right side
    279.29x = 52,454.27
  5. Step 5: Solve for x
    x = 52,454.27/279.29
  6. Step 6: Final answer
    x = 187.81

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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.