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Finding the Fourth Proportional to 279.61, 418.56 and 243.61

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Solution

The fourth proportional to 279.61, 418.56 and 243.61 is: 364.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.61 : 418.56 = 243.61 : x
  2. Step 2: Convert to fraction form
    279.61/418.56 = 243.61/x
  3. Step 3: Cross multiply
    279.61x = 418.56 × 243.61
  4. Step 4: Simplify right side
    279.61x = 101,965.40
  5. Step 5: Solve for x
    x = 101,965.40/279.61
  6. Step 6: Final answer
    x = 364.67

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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.