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Finding the Fourth Proportional to 279.75, 419.23 and 149.50

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Solution

The fourth proportional to 279.75, 419.23 and 149.50 is: 224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.75 : 419.23 = 149.50 : x
  2. Step 2: Convert to fraction form
    279.75/419.23 = 149.50/x
  3. Step 3: Cross multiply
    279.75x = 419.23 × 149.50
  4. Step 4: Simplify right side
    279.75x = 62,674.89
  5. Step 5: Solve for x
    x = 62,674.89/279.75
  6. Step 6: Final answer
    x = 224.04

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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.