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Finding the Fourth Proportional to 279.09, 418.08 and 150.57

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Solution

The fourth proportional to 279.09, 418.08 and 150.57 is: 225.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.09 : 418.08 = 150.57 : x
  2. Step 2: Convert to fraction form
    279.09/418.08 = 150.57/x
  3. Step 3: Cross multiply
    279.09x = 418.08 × 150.57
  4. Step 4: Simplify right side
    279.09x = 62,950.31
  5. Step 5: Solve for x
    x = 62,950.31/279.09
  6. Step 6: Final answer
    x = 225.56

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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.